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$g (x) = \frac{x^{7} {(x - 1)}^{2}}{{(x + 2)}^{2} {(x^{2} + 1)}^{3}}$

Langkah 1

Diferensialkan menggunakan Kaidah Hasil Bagi yang menyatakan bahwa $\frac{d}{d x} [\frac{f (x)}{g (x)}]$ adalah $\frac{g (x) \frac{d}{d x} [f (x)] - f (x) \frac{d}{d x} [g (x)]}{{g (x)}^{2}}$ di mana $f (x) = x^{7} {(x - 1)}^{2}$ dan $g (x) = {(x + 2)}^{2} {(x^{2} + 1)}^{3}$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} \frac{d}{d x} [x^{7} {(x - 1)}^{2}] - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 2

Diferensialkan menggunakan Kaidah Hasil Kali yang menyatakan bahwa $\frac{d}{d x} [f (x) g (x)]$ adalah $f (x) \frac{d}{d x} [g (x)] + g (x) \frac{d}{d x} [f (x)]$ di mana $f (x) = x^{7}$ dan $g (x) = {(x - 1)}^{2}$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} \frac{d}{d x} [{(x - 1)}^{2}] + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 3

Diferensialkan menggunakan kaidah rantai, yang menyatakan bahwa $\frac{d}{d x} [f (g (x))]$ adalah $f' (g (x)) g' (x)$ di mana $f (x) = x^{2}$ dan $g (x) = x - 1$ .

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Langkah 3.1

Untuk menerapkan Kaidah Rantai, atur $u_{1}$ sebagai $x - 1$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (\frac{d}{d u_{1}} [{u_{1}}^{2}] \frac{d}{d x} [x - 1]) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 3.2

Diferensialkan menggunakan Kaidah Pangkat yang menyatakan bahwa $\frac{d}{d u_{1}} [{u_{1}}^{n}]$ adalah $n {u_{1}}^{n - 1}$ di mana $n = 2$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 u_{1} \frac{d}{d x} [x - 1]) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 3.3

Ganti semua kemunculan $u_{1}$ dengan $x - 1$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1) \frac{d}{d x} [x - 1]) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 4

Diferensialkan.

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Langkah 4.1

Menurut Kaidah Penjumlahan, turunan dari $x - 1$ terhadap (Variabel1) adalah $\frac{d}{d x} [x] + \frac{d}{d x} [- 1]$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1) (\frac{d}{d x} [x] + \frac{d}{d x} [- 1])) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 4.2

Diferensialkan menggunakan Kaidah Pangkat yang menyatakan bahwa $\frac{d}{d x} [x^{n}]$ adalah $n x^{n - 1}$ di mana $n = 1$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1) (1 + \frac{d}{d x} [- 1])) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 4.3

Karena $- 1$ konstan terhadap $x$ , turunan dari $- 1$ terhadap $x$ adalah $0$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1) (1 + 0)) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 4.4

Sederhanakan pernyataannya.

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Langkah 4.4.1

Tambahkan $1$ dan $0$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1) \cdot 1) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 4.4.2

Kalikan $2$ dengan $1$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + {(x - 1)}^{2} \frac{d}{d x} [x^{7}]) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 4.5

Diferensialkan menggunakan Kaidah Pangkat yang menyatakan bahwa $\frac{d}{d x} [x^{n}]$ adalah $n x^{n - 1}$ di mana $n = 7$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + {(x - 1)}^{2} (7 x^{6})) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 4.6

Pindahkan $7$ ke sebelah kiri ${(x - 1)}^{2}$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 \cdot {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} \frac{d}{d x} [{(x + 2)}^{2} {(x^{2} + 1)}^{3}]}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 5

Diferensialkan menggunakan Kaidah Hasil Kali yang menyatakan bahwa $\frac{d}{d x} [f (x) g (x)]$ adalah $f (x) \frac{d}{d x} [g (x)] + g (x) \frac{d}{d x} [f (x)]$ di mana $f (x) = {(x + 2)}^{2}$ dan $g (x) = {(x^{2} + 1)}^{3}$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} ({(x + 2)}^{2} \frac{d}{d x} [{(x^{2} + 1)}^{3}] + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 6

Diferensialkan menggunakan kaidah rantai, yang menyatakan bahwa $\frac{d}{d x} [f (g (x))]$ adalah $f' (g (x)) g' (x)$ di mana $f (x) = x^{3}$ dan $g (x) = x^{2} + 1$ .

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Langkah 6.1

Untuk menerapkan Kaidah Rantai, atur $u_{2}$ sebagai $x^{2} + 1$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} ({(x + 2)}^{2} (\frac{d}{d u_{2}} [{u_{2}}^{3}] \frac{d}{d x} [x^{2} + 1]) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 6.2

Diferensialkan menggunakan Kaidah Pangkat yang menyatakan bahwa $\frac{d}{d u_{2}} [{u_{2}}^{n}]$ adalah $n {u_{2}}^{n - 1}$ di mana $n = 3$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} ({(x + 2)}^{2} (3 {u_{2}}^{2} \frac{d}{d x} [x^{2} + 1]) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 6.3

Ganti semua kemunculan $u_{2}$ dengan $x^{2} + 1$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} ({(x + 2)}^{2} (3 {(x^{2} + 1)}^{2} \frac{d}{d x} [x^{2} + 1]) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 7

Diferensialkan.

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Langkah 7.1

Pindahkan $3$ ke sebelah kiri ${(x + 2)}^{2}$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (3 \cdot {(x + 2)}^{2} {(x^{2} + 1)}^{2} \frac{d}{d x} [x^{2} + 1] + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 7.2

Menurut Kaidah Penjumlahan, turunan dari $x^{2} + 1$ terhadap (Variabel1) adalah $\frac{d}{d x} [x^{2}] + \frac{d}{d x} [1]$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (3 {(x + 2)}^{2} {(x^{2} + 1)}^{2} (\frac{d}{d x} [x^{2}] + \frac{d}{d x} [1]) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 7.3

Diferensialkan menggunakan Kaidah Pangkat yang menyatakan bahwa $\frac{d}{d x} [x^{n}]$ adalah $n x^{n - 1}$ di mana $n = 2$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (3 {(x + 2)}^{2} {(x^{2} + 1)}^{2} (2 x + \frac{d}{d x} [1]) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 7.4

Karena $1$ konstan terhadap $x$ , turunan dari $1$ terhadap $x$ adalah $0$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (3 {(x + 2)}^{2} {(x^{2} + 1)}^{2} (2 x + 0) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 7.5

Sederhanakan pernyataannya.

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Langkah 7.5.1

Tambahkan $2 x$ dan $0$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (3 {(x + 2)}^{2} {(x^{2} + 1)}^{2} (2 x) + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 7.5.2

Kalikan $2$ dengan $3$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + {(x^{2} + 1)}^{3} \frac{d}{d x} [{(x + 2)}^{2}])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 8

Diferensialkan menggunakan kaidah rantai, yang menyatakan bahwa $\frac{d}{d x} [f (g (x))]$ adalah $f' (g (x)) g' (x)$ di mana $f (x) = x^{2}$ dan $g (x) = x + 2$ .

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Langkah 8.1

Untuk menerapkan Kaidah Rantai, atur $u_{3}$ sebagai $x + 2$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + {(x^{2} + 1)}^{3} (\frac{d}{d u_{3}} [{u_{3}}^{2}] \frac{d}{d x} [x + 2]))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 8.2

Diferensialkan menggunakan Kaidah Pangkat yang menyatakan bahwa $\frac{d}{d u_{3}} [{u_{3}}^{n}]$ adalah $n {u_{3}}^{n - 1}$ di mana $n = 2$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + {(x^{2} + 1)}^{3} (2 u_{3} \frac{d}{d x} [x + 2]))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 8.3

Ganti semua kemunculan $u_{3}$ dengan $x + 2$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + {(x^{2} + 1)}^{3} (2 (x + 2) \frac{d}{d x} [x + 2]))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 9

Diferensialkan.

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Langkah 9.1

Pindahkan $2$ ke sebelah kiri ${(x^{2} + 1)}^{3}$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 \cdot {(x^{2} + 1)}^{3} (x + 2) \frac{d}{d x} [x + 2])}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 9.2

Menurut Kaidah Penjumlahan, turunan dari $x + 2$ terhadap (Variabel1) adalah $\frac{d}{d x} [x] + \frac{d}{d x} [2]$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2) (\frac{d}{d x} [x] + \frac{d}{d x} [2]))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 9.3

Diferensialkan menggunakan Kaidah Pangkat yang menyatakan bahwa $\frac{d}{d x} [x^{n}]$ adalah $n x^{n - 1}$ di mana $n = 1$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2) (1 + \frac{d}{d x} [2]))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 9.4

Karena $2$ konstan terhadap $x$ , turunan dari $2$ terhadap $x$ adalah $0$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2) (1 + 0))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 9.5

Sederhanakan pernyataannya.

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Langkah 9.5.1

Tambahkan $1$ dan $0$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2) \cdot 1)}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 9.5.2

Kalikan $2$ dengan $1$ .

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 (x - 1)) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2} {(x^{2} + 1)}^{3})}^{2}}$

Langkah 10

Sederhanakan.

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Langkah 10.1

Terapkan kaidah hasil kali ke ${(x + 2)}^{2} {(x^{2} + 1)}^{3}$ .

Langkah 10.2

Terapkan sifat distributif.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 x + 2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.3

Terapkan sifat distributif.

$\frac{{(x + 2)}^{2} {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4

Sederhanakan pembilangnya.

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Langkah 10.4.1

Tulis kembali ${(x + 2)}^{2}$ sebagai $(x + 2) (x + 2)$ .

$\frac{(x + 2) (x + 2) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.2

Perluas $(x + 2) (x + 2)$ menggunakan Metode FOIL.

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Langkah 10.4.2.1

Terapkan sifat distributif.

$\frac{(x (x + 2) + 2 (x + 2)) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.2.2

Terapkan sifat distributif.

$\frac{(x \cdot x + x \cdot 2 + 2 (x + 2)) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.2.3

Terapkan sifat distributif.

$\frac{(x \cdot x + x \cdot 2 + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.3

Sederhanakan dan gabungkan suku-suku sejenis.

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Langkah 10.4.3.1

Sederhanakan setiap suku.

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Langkah 10.4.3.1.1

Kalikan $x$ dengan $x$ .

$\frac{(x^{2} + x \cdot 2 + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.3.1.2

Pindahkan $2$ ke sebelah kiri $x$ .

$\frac{(x^{2} + 2 \cdot x + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.3.1.3

Kalikan $2$ dengan $2$ .

$\frac{(x^{2} + 2 x + 2 x + 4) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.3.2

Tambahkan $2 x$ dan $2 x$ .

$\frac{(x^{2} + 4 x + 4) {(x^{2} + 1)}^{3} (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.4

Gunakan Teorema Binomial.

$\frac{(x^{2} + 4 x + 4) ({(x^{2})}^{3} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.5

Sederhanakan setiap suku.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.5.1

Kalikan eksponen dalam ${(x^{2})}^{3}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.5.1.1

Terapkan kaidah pangkat dan perkalian eksponen, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{(x^{2} + 4 x + 4) (x^{2 \cdot 3} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.5.1.2

Kalikan $2$ dengan $3$ .

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.5.2

Kalikan eksponen dalam ${(x^{2})}^{2}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.5.2.1

Terapkan kaidah pangkat dan perkalian eksponen, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{2 \cdot 2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.5.2.2

Kalikan $2$ dengan $2$ .

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.5.3

Kalikan $3$ dengan $1$ .

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} \cdot 1^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.5.4

Satu dipangkat berapa pun sama dengan satu.

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} \cdot 1 + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.5.5

Kalikan $3$ dengan $1$ .

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} + 1^{3}) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.5.6

Satu dipangkat berapa pun sama dengan satu.

$\frac{(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} + 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.6

Perluas $(x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} + 1)$ dengan mengalikan setiap suku dalam pernyataan pertama dengan setiap suku dalam pernyataan kedua.

$\frac{(x^{2} x^{6} + x^{2} (3 x^{4}) + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7

Sederhanakan setiap suku.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.7.1

Kalikan $x^{2}$ dengan $x^{6}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.7.1.1

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{(x^{2 + 6} + x^{2} (3 x^{4}) + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.1.2

Tambahkan $2$ dan $6$ .

$\frac{(x^{8} + x^{2} (3 x^{4}) + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.2

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{(x^{8} + 3 x^{2} x^{4} + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.3

Kalikan $x^{2}$ dengan $x^{4}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.7.3.1

Pindahkan $x^{4}$ .

$\frac{(x^{8} + 3 (x^{4} x^{2}) + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.3.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{(x^{8} + 3 x^{4 + 2} + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.3.3

Tambahkan $4$ dan $2$ .

$\frac{(x^{8} + 3 x^{6} + x^{2} (3 x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.4

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{(x^{8} + 3 x^{6} + 3 x^{2} x^{2} + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.5

Kalikan $x^{2}$ dengan $x^{2}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.7.5.1

Pindahkan $x^{2}$ .

$\frac{(x^{8} + 3 x^{6} + 3 (x^{2} x^{2}) + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.5.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{(x^{8} + 3 x^{6} + 3 x^{2 + 2} + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.5.3

Tambahkan $2$ dan $2$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} \cdot 1 + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.6

Kalikan $x^{2}$ dengan $1$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x \cdot x^{6} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.7

Kalikan $x$ dengan $x^{6}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.7.7.1

Pindahkan $x^{6}$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 (x^{6} x) + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.7.2

Kalikan $x^{6}$ dengan $x$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.7.7.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 (x^{6} x^{1}) + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.7.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{6 + 1} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.7.3

Tambahkan $6$ dan $1$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 x (3 x^{4}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.8

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 \cdot 3 x \cdot x^{4} + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.9

Kalikan $x$ dengan $x^{4}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.7.9.1

Pindahkan $x^{4}$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 \cdot 3 (x^{4} x) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.9.2

Kalikan $x^{4}$ dengan $x$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.7.9.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 \cdot 3 (x^{4} x^{1}) + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.9.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 \cdot 3 x^{4 + 1} + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.9.3

Tambahkan $4$ dan $1$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 4 \cdot 3 x^{5} + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.10

Kalikan $4$ dengan $3$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 x (3 x^{2}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.11

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 \cdot 3 x \cdot x^{2} + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.12

Kalikan $x$ dengan $x^{2}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.7.12.1

Pindahkan $x^{2}$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 \cdot 3 (x^{2} x) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.12.2

Kalikan $x^{2}$ dengan $x$ .

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Langkah 10.4.7.12.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 \cdot 3 (x^{2} x^{1}) + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.12.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 \cdot 3 x^{2 + 1} + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.12.3

Tambahkan $2$ dan $1$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 4 \cdot 3 x^{3} + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.13

Kalikan $4$ dengan $3$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x \cdot 1 + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.14

Kalikan $4$ dengan $1$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 4 x^{6} + 4 (3 x^{4}) + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.15

Kalikan $3$ dengan $4$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 4 x^{6} + 12 x^{4} + 4 (3 x^{2}) + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.16

Kalikan $3$ dengan $4$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 4 x^{6} + 12 x^{4} + 12 x^{2} + 4 \cdot 1) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.7.17

Kalikan $4$ dengan $1$ .

$\frac{(x^{8} + 3 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 4 x^{6} + 12 x^{4} + 12 x^{2} + 4) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.8

Tambahkan $3 x^{6}$ dan $4 x^{6}$ .

$\frac{(x^{8} + 7 x^{6} + 3 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 12 x^{4} + 12 x^{2} + 4) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.9

Tambahkan $3 x^{4}$ dan $12 x^{4}$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + x^{2} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 12 x^{2} + 4) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.10

Tambahkan $x^{2}$ dan $12 x^{2}$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (x^{7} (2 x) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11

Sederhanakan setiap suku.

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Langkah 10.4.11.1

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{7} x + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.2

Kalikan $x^{7}$ dengan $x$ dengan menambahkan eksponennya.

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Langkah 10.4.11.2.1

Pindahkan $x$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 (x \cdot x^{7}) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.2.2

Kalikan $x$ dengan $x^{7}$ .

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Langkah 10.4.11.2.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 (x^{1} x^{7}) + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.2.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{1 + 7} + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.2.3

Tambahkan $1$ dan $7$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} + x^{7} (2 \cdot - 1) + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.3

Kalikan $2$ dengan $- 1$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} + x^{7} \cdot - 2 + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.4

Pindahkan $- 2$ ke sebelah kiri $x^{7}$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 \cdot x^{7} + 7 {(x - 1)}^{2} x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.5

Tulis kembali ${(x - 1)}^{2}$ sebagai $(x - 1) (x - 1)$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 ((x - 1) (x - 1)) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.6

Perluas $(x - 1) (x - 1)$ menggunakan Metode FOIL.

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Langkah 10.4.11.6.1

Terapkan sifat distributif.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x (x - 1) - 1 (x - 1)) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.6.2

Terapkan sifat distributif.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x \cdot x + x \cdot - 1 - 1 (x - 1)) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.6.3

Terapkan sifat distributif.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x \cdot x + x \cdot - 1 - 1 x - 1 \cdot - 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.7

Sederhanakan dan gabungkan suku-suku sejenis.

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Langkah 10.4.11.7.1

Sederhanakan setiap suku.

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Langkah 10.4.11.7.1.1

Kalikan $x$ dengan $x$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} + x \cdot - 1 - 1 x - 1 \cdot - 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.7.1.2

Pindahkan $- 1$ ke sebelah kiri $x$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} - 1 \cdot x - 1 x - 1 \cdot - 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.7.1.3

Tulis kembali $- 1 x$ sebagai $- x$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} - x - 1 x - 1 \cdot - 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.7.1.4

Tulis kembali $- 1 x$ sebagai $- x$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} - x - x - 1 \cdot - 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.7.1.5

Kalikan $- 1$ dengan $- 1$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} - x - x + 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.7.2

Kurangi $x$ dengan $- x$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{2} - 2 x + 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.8

Terapkan sifat distributif.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + (7 x^{2} + 7 (- 2 x) + 7 \cdot 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.9

Sederhanakan.

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Langkah 10.4.11.9.1

Kalikan $- 2$ dengan $7$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + (7 x^{2} - 14 x + 7 \cdot 1) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.9.2

Kalikan $7$ dengan $1$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + (7 x^{2} - 14 x + 7) x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.10

Terapkan sifat distributif.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{2} x^{6} - 14 x \cdot x^{6} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.11

Sederhanakan.

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Langkah 10.4.11.11.1

Kalikan $x^{2}$ dengan $x^{6}$ dengan menambahkan eksponennya.

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Langkah 10.4.11.11.1.1

Pindahkan $x^{6}$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 (x^{6} x^{2}) - 14 x \cdot x^{6} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.11.1.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{6 + 2} - 14 x \cdot x^{6} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.11.1.3

Tambahkan $6$ dan $2$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{8} - 14 x \cdot x^{6} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.11.2

Kalikan $x$ dengan $x^{6}$ dengan menambahkan eksponennya.

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Langkah 10.4.11.11.2.1

Pindahkan $x^{6}$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{8} - 14 (x^{6} x) + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.11.2.2

Kalikan $x^{6}$ dengan $x$ .

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Langkah 10.4.11.11.2.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{8} - 14 (x^{6} x^{1}) + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.11.2.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{8} - 14 x^{6 + 1} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.11.11.2.3

Tambahkan $6$ dan $1$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (2 x^{8} - 2 x^{7} + 7 x^{8} - 14 x^{7} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.12

Tambahkan $2 x^{8}$ dan $7 x^{8}$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (9 x^{8} - 2 x^{7} - 14 x^{7} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.13

Kurangi $14 x^{7}$ dengan $- 2 x^{7}$ .

$\frac{(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (9 x^{8} - 16 x^{7} + 7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.14

Perluas $(x^{8} + 7 x^{6} + 15 x^{4} + 4 x^{7} + 12 x^{5} + 12 x^{3} + 4 x + 13 x^{2} + 4) (9 x^{8} - 16 x^{7} + 7 x^{6})$ dengan mengalikan setiap suku dalam pernyataan pertama dengan setiap suku dalam pernyataan kedua.

$\frac{x^{8} (9 x^{8}) + x^{8} (- 16 x^{7}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15

Sederhanakan setiap suku.

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Langkah 10.4.15.1

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{8} x^{8} + x^{8} (- 16 x^{7}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.2

Kalikan $x^{8}$ dengan $x^{8}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.2.1

Pindahkan $x^{8}$ .

$\frac{9 (x^{8} x^{8}) + x^{8} (- 16 x^{7}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{8 + 8} + x^{8} (- 16 x^{7}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.2.3

Tambahkan $8$ dan $8$ .

$\frac{9 x^{16} + x^{8} (- 16 x^{7}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.3

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{8} x^{7} + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.4

Kalikan $x^{8}$ dengan $x^{7}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.4.1

Pindahkan $x^{7}$ .

$\frac{9 x^{16} - 16 (x^{7} x^{8}) + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.4.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{7 + 8} + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.4.3

Tambahkan $7$ dan $8$ .

$\frac{9 x^{16} - 16 x^{15} + x^{8} (7 x^{6}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.5

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{8} x^{6} + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.6

Kalikan $x^{8}$ dengan $x^{6}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.6.1

Pindahkan $x^{6}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 (x^{6} x^{8}) + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.6.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{6 + 8} + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.6.3

Tambahkan $6$ dan $8$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 7 x^{6} (9 x^{8}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.7

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 7 \cdot 9 x^{6} x^{8} + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.8

Kalikan $x^{6}$ dengan $x^{8}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.8.1

Pindahkan $x^{8}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 7 \cdot 9 (x^{8} x^{6}) + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.8.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 7 \cdot 9 x^{8 + 6} + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.8.3

Tambahkan $8$ dan $6$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 7 \cdot 9 x^{14} + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.9

Kalikan $7$ dengan $9$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} + 7 x^{6} (- 16 x^{7}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.10

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} + 7 \cdot - 16 x^{6} x^{7} + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.11

Kalikan $x^{6}$ dengan $x^{7}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.11.1

Pindahkan $x^{7}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} + 7 \cdot - 16 (x^{7} x^{6}) + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.11.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} + 7 \cdot - 16 x^{7 + 6} + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.11.3

Tambahkan $7$ dan $6$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} + 7 \cdot - 16 x^{13} + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.12

Kalikan $7$ dengan $- 16$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 7 x^{6} (7 x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.13

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 7 \cdot 7 x^{6} x^{6} + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.14

Kalikan $x^{6}$ dengan $x^{6}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.14.1

Pindahkan $x^{6}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 7 \cdot 7 (x^{6} x^{6}) + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.14.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 7 \cdot 7 x^{6 + 6} + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.14.3

Tambahkan $6$ dan $6$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 7 \cdot 7 x^{12} + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.15

Kalikan $7$ dengan $7$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 15 x^{4} (9 x^{8}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.16

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 15 \cdot 9 x^{4} x^{8} + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.17

Kalikan $x^{4}$ dengan $x^{8}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.17.1

Pindahkan $x^{8}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 15 \cdot 9 (x^{8} x^{4}) + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.17.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 15 \cdot 9 x^{8 + 4} + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.17.3

Tambahkan $8$ dan $4$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 15 \cdot 9 x^{12} + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.18

Kalikan $15$ dengan $9$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} + 15 x^{4} (- 16 x^{7}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.19

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} + 15 \cdot - 16 x^{4} x^{7} + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.20

Kalikan $x^{4}$ dengan $x^{7}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.20.1

Pindahkan $x^{7}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} + 15 \cdot - 16 (x^{7} x^{4}) + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.20.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} + 15 \cdot - 16 x^{7 + 4} + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.20.3

Tambahkan $7$ dan $4$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} + 15 \cdot - 16 x^{11} + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.21

Kalikan $15$ dengan $- 16$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 15 x^{4} (7 x^{6}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.22

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 15 \cdot 7 x^{4} x^{6} + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.23

Kalikan $x^{4}$ dengan $x^{6}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.23.1

Pindahkan $x^{6}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 15 \cdot 7 (x^{6} x^{4}) + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.23.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 15 \cdot 7 x^{6 + 4} + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.23.3

Tambahkan $6$ dan $4$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 15 \cdot 7 x^{10} + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.24

Kalikan $15$ dengan $7$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 4 x^{7} (9 x^{8}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.25

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 4 \cdot 9 x^{7} x^{8} + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.26

Kalikan $x^{7}$ dengan $x^{8}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.26.1

Pindahkan $x^{8}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 4 \cdot 9 (x^{8} x^{7}) + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.26.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 4 \cdot 9 x^{8 + 7} + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.26.3

Tambahkan $8$ dan $7$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 4 \cdot 9 x^{15} + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.27

Kalikan $4$ dengan $9$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} + 4 x^{7} (- 16 x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.28

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} + 4 \cdot - 16 x^{7} x^{7} + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.29

Kalikan $x^{7}$ dengan $x^{7}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.29.1

Pindahkan $x^{7}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} + 4 \cdot - 16 (x^{7} x^{7}) + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.29.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} + 4 \cdot - 16 x^{7 + 7} + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.29.3

Tambahkan $7$ dan $7$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} + 4 \cdot - 16 x^{14} + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.30

Kalikan $4$ dengan $- 16$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 4 x^{7} (7 x^{6}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.31

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 4 \cdot 7 x^{7} x^{6} + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.32

Kalikan $x^{7}$ dengan $x^{6}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.32.1

Pindahkan $x^{6}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 4 \cdot 7 (x^{6} x^{7}) + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.32.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 4 \cdot 7 x^{6 + 7} + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.32.3

Tambahkan $6$ dan $7$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 4 \cdot 7 x^{13} + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.33

Kalikan $4$ dengan $7$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 12 x^{5} (9 x^{8}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.34

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 12 \cdot 9 x^{5} x^{8} + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.35

Kalikan $x^{5}$ dengan $x^{8}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.35.1

Pindahkan $x^{8}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 12 \cdot 9 (x^{8} x^{5}) + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.35.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 12 \cdot 9 x^{8 + 5} + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.35.3

Tambahkan $8$ dan $5$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 12 \cdot 9 x^{13} + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.36

Kalikan $12$ dengan $9$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} + 12 x^{5} (- 16 x^{7}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.37

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} + 12 \cdot - 16 x^{5} x^{7} + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.38

Kalikan $x^{5}$ dengan $x^{7}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.38.1

Pindahkan $x^{7}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} + 12 \cdot - 16 (x^{7} x^{5}) + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.38.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} + 12 \cdot - 16 x^{7 + 5} + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.38.3

Tambahkan $7$ dan $5$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} + 12 \cdot - 16 x^{12} + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.39

Kalikan $12$ dengan $- 16$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 12 x^{5} (7 x^{6}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.40

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 12 \cdot 7 x^{5} x^{6} + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.41

Kalikan $x^{5}$ dengan $x^{6}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.41.1

Pindahkan $x^{6}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 12 \cdot 7 (x^{6} x^{5}) + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.41.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 12 \cdot 7 x^{6 + 5} + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.41.3

Tambahkan $6$ dan $5$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 12 \cdot 7 x^{11} + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.42

Kalikan $12$ dengan $7$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 12 x^{3} (9 x^{8}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.43

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 12 \cdot 9 x^{3} x^{8} + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.44

Kalikan $x^{3}$ dengan $x^{8}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.44.1

Pindahkan $x^{8}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 12 \cdot 9 (x^{8} x^{3}) + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.44.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 12 \cdot 9 x^{8 + 3} + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.44.3

Tambahkan $8$ dan $3$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 12 \cdot 9 x^{11} + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.45

Kalikan $12$ dengan $9$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} + 12 x^{3} (- 16 x^{7}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.46

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} + 12 \cdot - 16 x^{3} x^{7} + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.47

Kalikan $x^{3}$ dengan $x^{7}$ dengan menambahkan eksponennya.

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Langkah 10.4.15.47.1

Pindahkan $x^{7}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} + 12 \cdot - 16 (x^{7} x^{3}) + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.47.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} + 12 \cdot - 16 x^{7 + 3} + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.47.3

Tambahkan $7$ dan $3$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} + 12 \cdot - 16 x^{10} + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.48

Kalikan $12$ dengan $- 16$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 12 x^{3} (7 x^{6}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.49

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 12 \cdot 7 x^{3} x^{6} + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.50

Kalikan $x^{3}$ dengan $x^{6}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.15.50.1

Pindahkan $x^{6}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 12 \cdot 7 (x^{6} x^{3}) + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.50.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 12 \cdot 7 x^{6 + 3} + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.50.3

Tambahkan $6$ dan $3$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 12 \cdot 7 x^{9} + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.51

Kalikan $12$ dengan $7$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 x (9 x^{8}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.52

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 \cdot 9 x \cdot x^{8} + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.53

Kalikan $x$ dengan $x^{8}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.15.53.1

Pindahkan $x^{8}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 \cdot 9 (x^{8} x) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.53.2

Kalikan $x^{8}$ dengan $x$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.15.53.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 \cdot 9 (x^{8} x^{1}) + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.53.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 \cdot 9 x^{8 + 1} + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.53.3

Tambahkan $8$ dan $1$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 4 \cdot 9 x^{9} + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.54

Kalikan $4$ dengan $9$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 x (- 16 x^{7}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.55

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 \cdot - 16 x \cdot x^{7} + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.56

Kalikan $x$ dengan $x^{7}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.15.56.1

Pindahkan $x^{7}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 \cdot - 16 (x^{7} x) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.56.2

Kalikan $x^{7}$ dengan $x$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.15.56.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 \cdot - 16 (x^{7} x^{1}) + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.56.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 \cdot - 16 x^{7 + 1} + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.56.3

Tambahkan $7$ dan $1$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} + 4 \cdot - 16 x^{8} + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.57

Kalikan $4$ dengan $- 16$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 x (7 x^{6}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.58

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 \cdot 7 x \cdot x^{6} + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.59

Kalikan $x$ dengan $x^{6}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.15.59.1

Pindahkan $x^{6}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 \cdot 7 (x^{6} x) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.59.2

Kalikan $x^{6}$ dengan $x$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.15.59.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 \cdot 7 (x^{6} x^{1}) + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.59.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 \cdot 7 x^{6 + 1} + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.59.3

Tambahkan $6$ dan $1$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 4 \cdot 7 x^{7} + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.60

Kalikan $4$ dengan $7$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 13 x^{2} (9 x^{8}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.61

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 13 \cdot 9 x^{2} x^{8} + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.62

Kalikan $x^{2}$ dengan $x^{8}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.15.62.1

Pindahkan $x^{8}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 13 \cdot 9 (x^{8} x^{2}) + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.62.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 13 \cdot 9 x^{8 + 2} + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.62.3

Tambahkan $8$ dan $2$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 13 \cdot 9 x^{10} + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.63

Kalikan $13$ dengan $9$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} + 13 x^{2} (- 16 x^{7}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.64

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} + 13 \cdot - 16 x^{2} x^{7} + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.65

Kalikan $x^{2}$ dengan $x^{7}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.15.65.1

Pindahkan $x^{7}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} + 13 \cdot - 16 (x^{7} x^{2}) + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.65.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} + 13 \cdot - 16 x^{7 + 2} + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.65.3

Tambahkan $7$ dan $2$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} + 13 \cdot - 16 x^{9} + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.66

Kalikan $13$ dengan $- 16$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 13 x^{2} (7 x^{6}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.67

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 13 \cdot 7 x^{2} x^{6} + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.68

Kalikan $x^{2}$ dengan $x^{6}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.15.68.1

Pindahkan $x^{6}$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 13 \cdot 7 (x^{6} x^{2}) + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.68.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 13 \cdot 7 x^{6 + 2} + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.68.3

Tambahkan $6$ dan $2$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 13 \cdot 7 x^{8} + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.69

Kalikan $13$ dengan $7$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 4 (9 x^{8}) + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.70

Kalikan $9$ dengan $4$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} + 4 (- 16 x^{7}) + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.71

Kalikan $- 16$ dengan $4$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 4 (7 x^{6}) - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.15.72

Kalikan $7$ dengan $4$ .

$\frac{9 x^{16} - 16 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 36 x^{15} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.16

Tambahkan $- 16 x^{15}$ dan $36 x^{15}$ .

$\frac{9 x^{16} + 20 x^{15} + 7 x^{14} + 63 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.17

Tambahkan $7 x^{14}$ dan $63 x^{14}$ .

$\frac{9 x^{16} + 20 x^{15} + 70 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} - 64 x^{14} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.18

Kurangi $64 x^{14}$ dengan $70 x^{14}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} - 112 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 28 x^{13} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.19

Tambahkan $- 112 x^{13}$ dan $28 x^{13}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} - 84 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} + 108 x^{13} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.20

Tambahkan $- 84 x^{13}$ dan $108 x^{13}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} + 49 x^{12} + 135 x^{12} - 240 x^{11} + 105 x^{10} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.21

Tambahkan $49 x^{12}$ dan $135 x^{12}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} + 184 x^{12} - 240 x^{11} + 105 x^{10} - 192 x^{12} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.22

Kurangi $192 x^{12}$ dengan $184 x^{12}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 240 x^{11} + 105 x^{10} + 84 x^{11} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.23

Tambahkan $- 240 x^{11}$ dan $84 x^{11}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 156 x^{11} + 105 x^{10} + 108 x^{11} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.24

Tambahkan $- 156 x^{11}$ dan $108 x^{11}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 105 x^{10} - 192 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.25

Kurangi $192 x^{10}$ dengan $105 x^{10}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} - 87 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} + 117 x^{10} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.26

Tambahkan $- 87 x^{10}$ dan $117 x^{10}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} + 84 x^{9} + 36 x^{9} - 64 x^{8} + 28 x^{7} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.27

Tambahkan $84 x^{9}$ dan $36 x^{9}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} + 120 x^{9} - 64 x^{8} + 28 x^{7} - 208 x^{9} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.28

Kurangi $208 x^{9}$ dengan $120 x^{9}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} - 64 x^{8} + 28 x^{7} + 91 x^{8} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.29

Tambahkan $- 64 x^{8}$ dan $91 x^{8}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 27 x^{8} + 28 x^{7} + 36 x^{8} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.30

Tambahkan $27 x^{8}$ dan $36 x^{8}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} + 28 x^{7} - 64 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.31

Kurangi $64 x^{7}$ dengan $28 x^{7}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} {(x - 1)}^{2} (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.32

Tulis kembali ${(x - 1)}^{2}$ sebagai $(x - 1) (x - 1)$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} ((x - 1) (x - 1)) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.33

Perluas $(x - 1) (x - 1)$ menggunakan Metode FOIL.

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Langkah 10.4.33.1

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x (x - 1) - 1 (x - 1)) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.33.2

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x \cdot x + x \cdot - 1 - 1 (x - 1)) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.33.3

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x \cdot x + x \cdot - 1 - 1 x - 1 \cdot - 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.34

Sederhanakan dan gabungkan suku-suku sejenis.

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Langkah 10.4.34.1

Sederhanakan setiap suku.

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Langkah 10.4.34.1.1

Kalikan $x$ dengan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} + x \cdot - 1 - 1 x - 1 \cdot - 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.34.1.2

Pindahkan $- 1$ ke sebelah kiri $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} - 1 \cdot x - 1 x - 1 \cdot - 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.34.1.3

Tulis kembali $- 1 x$ sebagai $- x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} - x - 1 x - 1 \cdot - 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.34.1.4

Tulis kembali $- 1 x$ sebagai $- x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} - x - x - 1 \cdot - 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.34.1.5

Kalikan $- 1$ dengan $- 1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} - x - x + 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.34.2

Kurangi $x$ dengan $- x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{7} (x^{2} - 2 x + 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.35

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{7} x^{2} - x^{7} (- 2 x) - x^{7} \cdot 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.36

Sederhanakan.

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Langkah 10.4.36.1

Kalikan $x^{7}$ dengan $x^{2}$ dengan menambahkan eksponennya.

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Langkah 10.4.36.1.1

Pindahkan $x^{2}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- (x^{2} x^{7}) - x^{7} (- 2 x) - x^{7} \cdot 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.36.1.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{2 + 7} - x^{7} (- 2 x) - x^{7} \cdot 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.36.1.3

Tambahkan $2$ dan $7$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - x^{7} (- 2 x) - x^{7} \cdot 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.36.2

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 x^{7} x - x^{7} \cdot 1) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.36.3

Kalikan $- 1$ dengan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 x^{7} x - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.37

Sederhanakan setiap suku.

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Langkah 10.4.37.1

Kalikan $x^{7}$ dengan $x$ dengan menambahkan eksponennya.

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Langkah 10.4.37.1.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 (x \cdot x^{7}) - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.37.1.2

Kalikan $x$ dengan $x^{7}$ .

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Langkah 10.4.37.1.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 (x^{1} x^{7}) - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.37.1.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 x^{1 + 7} - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.37.1.3

Tambahkan $1$ dan $7$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} - 1 \cdot - 2 x^{8} - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.37.2

Kalikan $- 1$ dengan $- 2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 {(x + 2)}^{2} {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38

Sederhanakan setiap suku.

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Langkah 10.4.38.1

Tulis kembali ${(x + 2)}^{2}$ sebagai $(x + 2) (x + 2)$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 ((x + 2) (x + 2)) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.2

Perluas $(x + 2) (x + 2)$ menggunakan Metode FOIL.

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Langkah 10.4.38.2.1

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x (x + 2) + 2 (x + 2)) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.2.2

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x \cdot x + x \cdot 2 + 2 (x + 2)) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.2.3

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x \cdot x + x \cdot 2 + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.3

Sederhanakan dan gabungkan suku-suku sejenis.

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Langkah 10.4.38.3.1

Sederhanakan setiap suku.

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Langkah 10.4.38.3.1.1

Kalikan $x$ dengan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x^{2} + x \cdot 2 + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.3.1.2

Pindahkan $2$ ke sebelah kiri $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x^{2} + 2 \cdot x + 2 x + 2 \cdot 2) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.3.1.3

Kalikan $2$ dengan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x^{2} + 2 x + 2 x + 4) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.3.2

Tambahkan $2 x$ dan $2 x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x^{2} + 4 x + 4) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.4

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 6 (4 x) + 6 \cdot 4) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.5

Sederhanakan.

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Langkah 10.4.38.5.1

Kalikan $4$ dengan $6$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 6 \cdot 4) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.5.2

Kalikan $6$ dengan $4$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) {(x^{2} + 1)}^{2} x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.6

Tulis kembali ${(x^{2} + 1)}^{2}$ sebagai $(x^{2} + 1) (x^{2} + 1)$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) ((x^{2} + 1) (x^{2} + 1)) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.7

Perluas $(x^{2} + 1) (x^{2} + 1)$ menggunakan Metode FOIL.

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Langkah 10.4.38.7.1

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{2} (x^{2} + 1) + 1 (x^{2} + 1)) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.7.2

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{2} x^{2} + x^{2} \cdot 1 + 1 (x^{2} + 1)) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.7.3

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{2} x^{2} + x^{2} \cdot 1 + 1 x^{2} + 1 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.8

Sederhanakan dan gabungkan suku-suku sejenis.

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Langkah 10.4.38.8.1

Sederhanakan setiap suku.

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Langkah 10.4.38.8.1.1

Kalikan $x^{2}$ dengan $x^{2}$ dengan menambahkan eksponennya.

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Langkah 10.4.38.8.1.1.1

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{2 + 2} + x^{2} \cdot 1 + 1 x^{2} + 1 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.8.1.1.2

Tambahkan $2$ dan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{4} + x^{2} \cdot 1 + 1 x^{2} + 1 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.8.1.2

Kalikan $x^{2}$ dengan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{4} + x^{2} + 1 x^{2} + 1 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.8.1.3

Kalikan $x^{2}$ dengan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{4} + x^{2} + x^{2} + 1 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.8.1.4

Kalikan $1$ dengan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{4} + x^{2} + x^{2} + 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.8.2

Tambahkan $x^{2}$ dan $x^{2}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} + 24 x + 24) (x^{4} + 2 x^{2} + 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.9

Perluas $(6 x^{2} + 24 x + 24) (x^{4} + 2 x^{2} + 1)$ dengan mengalikan setiap suku dalam pernyataan pertama dengan setiap suku dalam pernyataan kedua.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{2} x^{4} + 6 x^{2} (2 x^{2}) + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10

Sederhanakan setiap suku.

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Langkah 10.4.38.10.1

Kalikan $x^{2}$ dengan $x^{4}$ dengan menambahkan eksponennya.

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Langkah 10.4.38.10.1.1

Pindahkan $x^{4}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 (x^{4} x^{2}) + 6 x^{2} (2 x^{2}) + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.1.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{4 + 2} + 6 x^{2} (2 x^{2}) + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.1.3

Tambahkan $4$ dan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 6 x^{2} (2 x^{2}) + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.2

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 6 \cdot 2 x^{2} x^{2} + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.3

Kalikan $x^{2}$ dengan $x^{2}$ dengan menambahkan eksponennya.

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Langkah 10.4.38.10.3.1

Pindahkan $x^{2}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 6 \cdot 2 (x^{2} x^{2}) + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.3.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 6 \cdot 2 x^{2 + 2} + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.3.3

Tambahkan $2$ dan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 6 \cdot 2 x^{4} + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.4

Kalikan $6$ dengan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} \cdot 1 + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.5

Kalikan $6$ dengan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x \cdot x^{4} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.6

Kalikan $x$ dengan $x^{4}$ dengan menambahkan eksponennya.

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Langkah 10.4.38.10.6.1

Pindahkan $x^{4}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 (x^{4} x) + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.6.2

Kalikan $x^{4}$ dengan $x$ .

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Langkah 10.4.38.10.6.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 (x^{4} x^{1}) + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.6.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{4 + 1} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.6.3

Tambahkan $4$ dan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 x (2 x^{2}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.7

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 \cdot 2 x \cdot x^{2} + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.8

Kalikan $x$ dengan $x^{2}$ dengan menambahkan eksponennya.

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Langkah 10.4.38.10.8.1

Pindahkan $x^{2}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 \cdot 2 (x^{2} x) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.8.2

Kalikan $x^{2}$ dengan $x$ .

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Langkah 10.4.38.10.8.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 \cdot 2 (x^{2} x^{1}) + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.8.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 \cdot 2 x^{2 + 1} + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.8.3

Tambahkan $2$ dan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 24 \cdot 2 x^{3} + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.9

Kalikan $24$ dengan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 48 x^{3} + 24 x \cdot 1 + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.10

Kalikan $24$ dengan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 48 x^{3} + 24 x + 24 x^{4} + 24 (2 x^{2}) + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.11

Kalikan $2$ dengan $24$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 48 x^{3} + 24 x + 24 x^{4} + 48 x^{2} + 24 \cdot 1) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.10.12

Kalikan $24$ dengan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 12 x^{4} + 6 x^{2} + 24 x^{5} + 48 x^{3} + 24 x + 24 x^{4} + 48 x^{2} + 24) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.11

Tambahkan $12 x^{4}$ dan $24 x^{4}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 36 x^{4} + 6 x^{2} + 24 x^{5} + 48 x^{3} + 24 x + 48 x^{2} + 24) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.12

Tambahkan $6 x^{2}$ dan $48 x^{2}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) ((6 x^{6} + 36 x^{4} + 24 x^{5} + 48 x^{3} + 24 x + 54 x^{2} + 24) x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.13

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{6} x + 36 x^{4} x + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14

Sederhanakan.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.1

Kalikan $x^{6}$ dengan $x$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.1.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x \cdot x^{6}) + 36 x^{4} x + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.1.2

Kalikan $x$ dengan $x^{6}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.1.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 (x^{1} x^{6}) + 36 x^{4} x + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.1.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{1 + 6} + 36 x^{4} x + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.1.3

Tambahkan $1$ dan $6$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{4} x + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.2

Kalikan $x^{4}$ dengan $x$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.2.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 (x \cdot x^{4}) + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.2.2

Kalikan $x$ dengan $x^{4}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.2.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 (x^{1} x^{4}) + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.2.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{1 + 4} + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.2.3

Tambahkan $1$ dan $4$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{5} x + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.3

Kalikan $x^{5}$ dengan $x$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.3.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 (x \cdot x^{5}) + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.3.2

Kalikan $x$ dengan $x^{5}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.3.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 (x^{1} x^{5}) + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.3.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{1 + 5} + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.3.3

Tambahkan $1$ dan $5$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{3} x + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.4

Kalikan $x^{3}$ dengan $x$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.4.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 (x \cdot x^{3}) + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.4.2

Kalikan $x$ dengan $x^{3}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.4.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 (x^{1} x^{3}) + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.4.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{1 + 3} + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.4.3

Tambahkan $1$ dan $3$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x \cdot x + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.5

Kalikan $x$ dengan $x$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.5.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 (x \cdot x) + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.5.2

Kalikan $x$ dengan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{2} x + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.6

Kalikan $x^{2}$ dengan $x$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.6.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 (x \cdot x^{2}) + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.6.2

Kalikan $x$ dengan $x^{2}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.14.6.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 (x^{1} x^{2}) + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.6.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{1 + 2} + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.14.6.3

Tambahkan $1$ dan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 {(x^{2} + 1)}^{3} (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.15

Gunakan Teorema Binomial.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 ({(x^{2})}^{3} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.16

Sederhanakan setiap suku.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.16.1

Kalikan eksponen dalam ${(x^{2})}^{3}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.16.1.1

Terapkan kaidah pangkat dan perkalian eksponen, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{2 \cdot 3} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.16.1.2

Kalikan $2$ dengan $3$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 {(x^{2})}^{2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.16.2

Kalikan eksponen dalam ${(x^{2})}^{2}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.16.2.1

Terapkan kaidah pangkat dan perkalian eksponen, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{2 \cdot 2} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.16.2.2

Kalikan $2$ dengan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{4} \cdot 1 + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.16.3

Kalikan $3$ dengan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{4} + 3 x^{2} \cdot 1^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.16.4

Satu dipangkat berapa pun sama dengan satu.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{4} + 3 x^{2} \cdot 1 + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.16.5

Kalikan $3$ dengan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{4} + 3 x^{2} + 1^{3}) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.16.6

Satu dipangkat berapa pun sama dengan satu.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{6} + 3 x^{4} + 3 x^{2} + 1) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.17

Terapkan sifat distributif.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + (2 x^{6} + 2 (3 x^{4}) + 2 (3 x^{2}) + 2 \cdot 1) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.18

Sederhanakan.

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Langkah 10.4.38.18.1

Kalikan $3$ dengan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + (2 x^{6} + 6 x^{4} + 2 (3 x^{2}) + 2 \cdot 1) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.18.2

Kalikan $3$ dengan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + (2 x^{6} + 6 x^{4} + 6 x^{2} + 2 \cdot 1) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.18.3

Kalikan $2$ dengan $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + (2 x^{6} + 6 x^{4} + 6 x^{2} + 2) (x + 2))}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.19

Perluas $(2 x^{6} + 6 x^{4} + 6 x^{2} + 2) (x + 2)$ dengan mengalikan setiap suku dalam pernyataan pertama dengan setiap suku dalam pernyataan kedua.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{6} x + 2 x^{6} \cdot 2 + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20

Sederhanakan setiap suku.

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Langkah 10.4.38.20.1

Kalikan $x^{6}$ dengan $x$ dengan menambahkan eksponennya.

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Langkah 10.4.38.20.1.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x \cdot x^{6}) + 2 x^{6} \cdot 2 + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.1.2

Kalikan $x$ dengan $x^{6}$ .

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Langkah 10.4.38.20.1.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 (x^{1} x^{6}) + 2 x^{6} \cdot 2 + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.1.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{1 + 6} + 2 x^{6} \cdot 2 + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.1.3

Tambahkan $1$ dan $6$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 2 x^{6} \cdot 2 + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.2

Kalikan $2$ dengan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{4} x + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.3

Kalikan $x^{4}$ dengan $x$ dengan menambahkan eksponennya.

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Langkah 10.4.38.20.3.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 (x \cdot x^{4}) + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.3.2

Kalikan $x$ dengan $x^{4}$ .

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Langkah 10.4.38.20.3.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 (x^{1} x^{4}) + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.3.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{1 + 4} + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.3.3

Tambahkan $1$ dan $4$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 6 x^{4} \cdot 2 + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.4

Kalikan $2$ dengan $6$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{2} x + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.5

Kalikan $x^{2}$ dengan $x$ dengan menambahkan eksponennya.

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Langkah 10.4.38.20.5.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 (x \cdot x^{2}) + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.5.2

Kalikan $x$ dengan $x^{2}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.38.20.5.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 (x^{1} x^{2}) + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.5.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{1 + 2} + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.5.3

Tambahkan $1$ dan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{3} + 6 x^{2} \cdot 2 + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.6

Kalikan $2$ dengan $6$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{3} + 12 x^{2} + 2 x + 2 \cdot 2)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.38.20.7

Kalikan $2$ dengan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (6 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 2 x^{7} + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{3} + 12 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.39

Tambahkan $6 x^{7}$ dan $2 x^{7}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 36 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 4 x^{6} + 6 x^{5} + 12 x^{4} + 6 x^{3} + 12 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.40

Tambahkan $36 x^{5}$ dan $6 x^{5}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 24 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 4 x^{6} + 12 x^{4} + 6 x^{3} + 12 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.41

Tambahkan $24 x^{6}$ dan $4 x^{6}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 48 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 12 x^{4} + 6 x^{3} + 12 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.42

Tambahkan $48 x^{4}$ dan $12 x^{4}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 60 x^{4} + 24 x^{2} + 54 x^{3} + 24 x + 6 x^{3} + 12 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.43

Tambahkan $24 x^{2}$ dan $12 x^{2}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 60 x^{4} + 54 x^{3} + 24 x + 6 x^{3} + 36 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.44

Tambahkan $54 x^{3}$ dan $6 x^{3}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 60 x^{4} + 60 x^{3} + 24 x + 36 x^{2} + 2 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.45

Tambahkan $24 x$ dan $2 x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + (- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 60 x^{4} + 60 x^{3} + 36 x^{2} + 26 x + 4)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.46

Perluas $(- x^{9} + 2 x^{8} - x^{7}) (8 x^{7} + 42 x^{5} + 28 x^{6} + 60 x^{4} + 60 x^{3} + 36 x^{2} + 26 x + 4)$ dengan mengalikan setiap suku dalam pernyataan pertama dengan setiap suku dalam pernyataan kedua.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - x^{9} (8 x^{7}) - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47

Sederhanakan setiap suku.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.1

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 1 \cdot 8 x^{9} x^{7} - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.2

Kalikan $x^{9}$ dengan $x^{7}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.2.1

Pindahkan $x^{7}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 1 \cdot 8 (x^{7} x^{9}) - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 1 \cdot 8 x^{7 + 9} - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.2.3

Tambahkan $7$ dan $9$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 1 \cdot 8 x^{16} - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.3

Kalikan $- 1$ dengan $8$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - x^{9} (42 x^{5}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.4

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 1 \cdot 42 x^{9} x^{5} - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.5

Kalikan $x^{9}$ dengan $x^{5}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.5.1

Pindahkan $x^{5}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 1 \cdot 42 (x^{5} x^{9}) - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.5.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 1 \cdot 42 x^{5 + 9} - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.5.3

Tambahkan $5$ dan $9$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 1 \cdot 42 x^{14} - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.6

Kalikan $- 1$ dengan $42$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - x^{9} (28 x^{6}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.7

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 1 \cdot 28 x^{9} x^{6} - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.8

Kalikan $x^{9}$ dengan $x^{6}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.8.1

Pindahkan $x^{6}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 1 \cdot 28 (x^{6} x^{9}) - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.8.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 1 \cdot 28 x^{6 + 9} - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.8.3

Tambahkan $6$ dan $9$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 1 \cdot 28 x^{15} - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.9

Kalikan $- 1$ dengan $28$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - x^{9} (60 x^{4}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.10

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 1 \cdot 60 x^{9} x^{4} - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.11

Kalikan $x^{9}$ dengan $x^{4}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.11.1

Pindahkan $x^{4}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 1 \cdot 60 (x^{4} x^{9}) - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.11.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 1 \cdot 60 x^{4 + 9} - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.11.3

Tambahkan $4$ dan $9$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 1 \cdot 60 x^{13} - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.12

Kalikan $- 1$ dengan $60$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - x^{9} (60 x^{3}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.13

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 1 \cdot 60 x^{9} x^{3} - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.14

Kalikan $x^{9}$ dengan $x^{3}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.14.1

Pindahkan $x^{3}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 1 \cdot 60 (x^{3} x^{9}) - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.14.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 1 \cdot 60 x^{3 + 9} - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.14.3

Tambahkan $3$ dan $9$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 1 \cdot 60 x^{12} - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.15

Kalikan $- 1$ dengan $60$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - x^{9} (36 x^{2}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.16

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 1 \cdot 36 x^{9} x^{2} - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.17

Kalikan $x^{9}$ dengan $x^{2}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.17.1

Pindahkan $x^{2}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 1 \cdot 36 (x^{2} x^{9}) - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.17.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 1 \cdot 36 x^{2 + 9} - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.17.3

Tambahkan $2$ dan $9$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 1 \cdot 36 x^{11} - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.18

Kalikan $- 1$ dengan $36$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - x^{9} (26 x) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.19

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 1 \cdot 26 x^{9} x - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.20

Kalikan $x^{9}$ dengan $x$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.20.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 1 \cdot 26 (x \cdot x^{9}) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.20.2

Kalikan $x$ dengan $x^{9}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.20.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 1 \cdot 26 (x^{1} x^{9}) - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.20.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 1 \cdot 26 x^{1 + 9} - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.20.3

Tambahkan $1$ dan $9$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 1 \cdot 26 x^{10} - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.21

Kalikan $- 1$ dengan $26$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - x^{9} \cdot 4 + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.22

Kalikan $4$ dengan $- 1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 2 x^{8} (8 x^{7}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.23

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 2 \cdot 8 x^{8} x^{7} + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.24

Kalikan $x^{8}$ dengan $x^{7}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.24.1

Pindahkan $x^{7}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 2 \cdot 8 (x^{7} x^{8}) + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.24.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 2 \cdot 8 x^{7 + 8} + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.24.3

Tambahkan $7$ dan $8$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 2 \cdot 8 x^{15} + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.25

Kalikan $2$ dengan $8$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 2 x^{8} (42 x^{5}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.26

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 2 \cdot 42 x^{8} x^{5} + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.27

Kalikan $x^{8}$ dengan $x^{5}$ dengan menambahkan eksponennya.

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Langkah 10.4.47.27.1

Pindahkan $x^{5}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 2 \cdot 42 (x^{5} x^{8}) + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.27.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 2 \cdot 42 x^{5 + 8} + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.27.3

Tambahkan $5$ dan $8$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 2 \cdot 42 x^{13} + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.28

Kalikan $2$ dengan $42$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 2 x^{8} (28 x^{6}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.29

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 2 \cdot 28 x^{8} x^{6} + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.30

Kalikan $x^{8}$ dengan $x^{6}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.30.1

Pindahkan $x^{6}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 2 \cdot 28 (x^{6} x^{8}) + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.30.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 2 \cdot 28 x^{6 + 8} + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.30.3

Tambahkan $6$ dan $8$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 2 \cdot 28 x^{14} + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.31

Kalikan $2$ dengan $28$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 2 x^{8} (60 x^{4}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.32

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 2 \cdot 60 x^{8} x^{4} + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.33

Kalikan $x^{8}$ dengan $x^{4}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.33.1

Pindahkan $x^{4}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 2 \cdot 60 (x^{4} x^{8}) + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.33.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 2 \cdot 60 x^{4 + 8} + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.33.3

Tambahkan $4$ dan $8$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 2 \cdot 60 x^{12} + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.34

Kalikan $2$ dengan $60$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 2 x^{8} (60 x^{3}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.35

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 2 \cdot 60 x^{8} x^{3} + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.36

Kalikan $x^{8}$ dengan $x^{3}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.36.1

Pindahkan $x^{3}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 2 \cdot 60 (x^{3} x^{8}) + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.36.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 2 \cdot 60 x^{3 + 8} + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.36.3

Tambahkan $3$ dan $8$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 2 \cdot 60 x^{11} + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.37

Kalikan $2$ dengan $60$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 2 x^{8} (36 x^{2}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.38

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 2 \cdot 36 x^{8} x^{2} + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.39

Kalikan $x^{8}$ dengan $x^{2}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.39.1

Pindahkan $x^{2}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 2 \cdot 36 (x^{2} x^{8}) + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.39.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 2 \cdot 36 x^{2 + 8} + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.39.3

Tambahkan $2$ dan $8$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 2 \cdot 36 x^{10} + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.40

Kalikan $2$ dengan $36$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 x^{8} (26 x) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.41

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 \cdot 26 x^{8} x + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.42

Kalikan $x^{8}$ dengan $x$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.42.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 \cdot 26 (x \cdot x^{8}) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.42.2

Kalikan $x$ dengan $x^{8}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.42.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 \cdot 26 (x^{1} x^{8}) + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.42.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 \cdot 26 x^{1 + 8} + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.42.3

Tambahkan $1$ dan $8$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 2 \cdot 26 x^{9} + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.43

Kalikan $2$ dengan $26$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 2 x^{8} \cdot 4 - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.44

Kalikan $4$ dengan $2$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - x^{7} (8 x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.45

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 1 \cdot 8 x^{7} x^{7} - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.46

Kalikan $x^{7}$ dengan $x^{7}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.46.1

Pindahkan $x^{7}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 1 \cdot 8 (x^{7} x^{7}) - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.46.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 1 \cdot 8 x^{7 + 7} - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.46.3

Tambahkan $7$ dan $7$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 1 \cdot 8 x^{14} - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.47

Kalikan $- 1$ dengan $8$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - x^{7} (42 x^{5}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.48

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 1 \cdot 42 x^{7} x^{5} - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.49

Kalikan $x^{7}$ dengan $x^{5}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.49.1

Pindahkan $x^{5}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 1 \cdot 42 (x^{5} x^{7}) - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.49.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 1 \cdot 42 x^{5 + 7} - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.49.3

Tambahkan $5$ dan $7$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 1 \cdot 42 x^{12} - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.50

Kalikan $- 1$ dengan $42$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - x^{7} (28 x^{6}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.51

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 1 \cdot 28 x^{7} x^{6} - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.52

Kalikan $x^{7}$ dengan $x^{6}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.52.1

Pindahkan $x^{6}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 1 \cdot 28 (x^{6} x^{7}) - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.52.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 1 \cdot 28 x^{6 + 7} - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.52.3

Tambahkan $6$ dan $7$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 1 \cdot 28 x^{13} - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.53

Kalikan $- 1$ dengan $28$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - x^{7} (60 x^{4}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.54

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 1 \cdot 60 x^{7} x^{4} - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.55

Kalikan $x^{7}$ dengan $x^{4}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.55.1

Pindahkan $x^{4}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 1 \cdot 60 (x^{4} x^{7}) - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.55.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 1 \cdot 60 x^{4 + 7} - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.55.3

Tambahkan $4$ dan $7$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 1 \cdot 60 x^{11} - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.56

Kalikan $- 1$ dengan $60$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - x^{7} (60 x^{3}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.57

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 1 \cdot 60 x^{7} x^{3} - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.58

Kalikan $x^{7}$ dengan $x^{3}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.58.1

Pindahkan $x^{3}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 1 \cdot 60 (x^{3} x^{7}) - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.58.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 1 \cdot 60 x^{3 + 7} - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.58.3

Tambahkan $3$ dan $7$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 1 \cdot 60 x^{10} - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.59

Kalikan $- 1$ dengan $60$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - x^{7} (36 x^{2}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.60

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 1 \cdot 36 x^{7} x^{2} - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.61

Kalikan $x^{7}$ dengan $x^{2}$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.61.1

Pindahkan $x^{2}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 1 \cdot 36 (x^{2} x^{7}) - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.61.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 1 \cdot 36 x^{2 + 7} - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.61.3

Tambahkan $2$ dan $7$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 1 \cdot 36 x^{9} - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.62

Kalikan $- 1$ dengan $36$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - x^{7} (26 x) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.63

Tulis kembali menggunakan sifat komutatif dari perkalian.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 1 \cdot 26 x^{7} x - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.64

Kalikan $x^{7}$ dengan $x$ dengan menambahkan eksponennya.

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.64.1

Pindahkan $x$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 1 \cdot 26 (x \cdot x^{7}) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.64.2

Kalikan $x$ dengan $x^{7}$ .

Ketuk untuk lebih banyak langkah...

Langkah 10.4.47.64.2.1

Naikkan $x$ menjadi pangkat $1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 1 \cdot 26 (x^{1} x^{7}) - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.64.2.2

Gunakan kaidah pangkat $a^{m} a^{n} = a^{m + n}$ untuk menggabungkan pangkat.

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 1 \cdot 26 x^{1 + 7} - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.64.3

Tambahkan $1$ dan $7$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 1 \cdot 26 x^{8} - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.65

Kalikan $- 1$ dengan $26$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - x^{7} \cdot 4}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.47.66

Kalikan $4$ dengan $- 1$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} - 42 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 56 x^{14} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.48

Tambahkan $- 42 x^{14}$ dan $56 x^{14}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 14 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 8 x^{14} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.49

Kurangi $8 x^{14}$ dengan $14 x^{14}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 28 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 16 x^{15} + 84 x^{13} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.50

Tambahkan $- 28 x^{15}$ dan $16 x^{15}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 60 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 84 x^{13} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.51

Tambahkan $- 60 x^{13}$ dan $84 x^{13}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} + 24 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 42 x^{12} - 28 x^{13} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.52

Kurangi $28 x^{13}$ dengan $24 x^{13}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} - 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 120 x^{12} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 42 x^{12} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.53

Tambahkan $- 60 x^{12}$ dan $120 x^{12}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 60 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 42 x^{12} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.54

Kurangi $42 x^{12}$ dengan $60 x^{12}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} - 36 x^{11} - 26 x^{10} - 4 x^{9} + 120 x^{11} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.55

Tambahkan $- 36 x^{11}$ dan $120 x^{11}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 84 x^{11} - 26 x^{10} - 4 x^{9} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 60 x^{11} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.56

Kurangi $60 x^{11}$ dengan $84 x^{11}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 26 x^{10} - 4 x^{9} + 72 x^{10} + 52 x^{9} + 8 x^{8} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.57

Tambahkan $- 26 x^{10}$ dan $72 x^{10}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} + 46 x^{10} - 4 x^{9} + 52 x^{9} + 8 x^{8} - 60 x^{10} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.58

Kurangi $60 x^{10}$ dengan $46 x^{10}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} - 4 x^{9} + 52 x^{9} + 8 x^{8} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.59

Tambahkan $- 4 x^{9}$ dan $52 x^{9}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 48 x^{9} + 8 x^{8} - 36 x^{9} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.60

Kurangi $36 x^{9}$ dengan $48 x^{9}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} + 8 x^{8} - 26 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.61

Kurangi $26 x^{8}$ dengan $8 x^{8}$ .

$\frac{9 x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 8 x^{16} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.62

Kurangi $8 x^{16}$ dengan $9 x^{16}$ .

$\frac{x^{16} + 20 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + 6 x^{14} - 12 x^{15} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.63

Kurangi $12 x^{15}$ dengan $20 x^{15}$ .

$\frac{x^{16} + 8 x^{15} + 6 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + 6 x^{14} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.64

Tambahkan $6 x^{14}$ dan $6 x^{14}$ .

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 24 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 4 x^{13} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.65

Kurangi $4 x^{13}$ dengan $24 x^{13}$ .

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} - 8 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + 18 x^{12} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.66

Tambahkan $- 8 x^{12}$ dan $18 x^{12}$ .

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 48 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + 24 x^{11} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.67

Tambahkan $- 48 x^{11}$ dan $24 x^{11}$ .

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 30 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 14 x^{10} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.68

Kurangi $14 x^{10}$ dengan $30 x^{10}$ .

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 88 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} + 12 x^{9} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.69

Tambahkan $- 88 x^{9}$ dan $12 x^{9}$ .

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 63 x^{8} - 36 x^{7} + 28 x^{6} - 18 x^{8} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.70

Kurangi $18 x^{8}$ dengan $63 x^{8}$ .

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 36 x^{7} + 28 x^{6} - 4 x^{7}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.71

Kurangi $4 x^{7}$ dengan $- 36 x^{7}$ .

$\frac{x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72

Faktorkan $x^{6}$ dari $x^{16} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}$ .

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Langkah 10.4.72.1

Faktorkan $x^{6}$ dari $x^{16}$ .

$\frac{x^{6} x^{10} + 8 x^{15} + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.2

Faktorkan $x^{6}$ dari $8 x^{15}$ .

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + 12 x^{14} + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.3

Faktorkan $x^{6}$ dari $12 x^{14}$ .

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + 20 x^{13} + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.4

Faktorkan $x^{6}$ dari $20 x^{13}$ .

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + 10 x^{12} - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.5

Faktorkan $x^{6}$ dari $10 x^{12}$ .

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) - 24 x^{11} + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.6

Faktorkan $x^{6}$ dari $- 24 x^{11}$ .

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + 16 x^{10} - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.7

Faktorkan $x^{6}$ dari $16 x^{10}$ .

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) - 76 x^{9} + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.8

Faktorkan $x^{6}$ dari $- 76 x^{9}$ .

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + 45 x^{8} - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.9

Faktorkan $x^{6}$ dari $45 x^{8}$ .

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) - 40 x^{7} + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.10

Faktorkan $x^{6}$ dari $- 40 x^{7}$ .

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + 28 x^{6}}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.11

Faktorkan $x^{6}$ dari $28 x^{6}$ .

$\frac{x^{6} x^{10} + x^{6} (8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.12

Faktorkan $x^{6}$ dari $x^{6} x^{10} + x^{6} (8 x^{9})$ .

$\frac{x^{6} (x^{10} + 8 x^{9}) + x^{6} (12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.13

Faktorkan $x^{6}$ dari $x^{6} (x^{10} + 8 x^{9}) + x^{6} (12 x^{8})$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8}) + x^{6} (20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.14

Faktorkan $x^{6}$ dari $x^{6} (x^{10} + 8 x^{9} + 12 x^{8}) + x^{6} (20 x^{7})$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7}) + x^{6} (10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.15

Faktorkan $x^{6}$ dari $x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7}) + x^{6} (10 x^{6})$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6}) + x^{6} (- 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.16

Faktorkan $x^{6}$ dari $x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6}) + x^{6} (- 24 x^{5})$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5}) + x^{6} (16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.17

Faktorkan $x^{6}$ dari $x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5}) + x^{6} (16 x^{4})$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4}) + x^{6} (- 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.18

Faktorkan $x^{6}$ dari $x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4}) + x^{6} (- 76 x^{3})$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3}) + x^{6} (45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.19

Faktorkan $x^{6}$ dari $x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3}) + x^{6} (45 x^{2})$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2}) + x^{6} (- 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.20

Faktorkan $x^{6}$ dari $x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2}) + x^{6} (- 40 x)$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x) + x^{6} \cdot 28}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.4.72.21

Faktorkan $x^{6}$ dari $x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x) + x^{6} \cdot 28$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{({(x + 2)}^{2})}^{2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.5

Gabungkan suku-sukunya.

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Langkah 10.5.1

Kalikan eksponen dalam ${({(x + 2)}^{2})}^{2}$ .

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Langkah 10.5.1.1

Terapkan kaidah pangkat dan perkalian eksponen, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{(x + 2)}^{2 \cdot 2} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.5.1.2

Kalikan $2$ dengan $2$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{(x + 2)}^{4} {({(x^{2} + 1)}^{3})}^{2}}$

Langkah 10.5.2

Kalikan eksponen dalam ${({(x^{2} + 1)}^{3})}^{2}$ .

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Langkah 10.5.2.1

Terapkan kaidah pangkat dan perkalian eksponen, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{(x + 2)}^{4} {(x^{2} + 1)}^{3 \cdot 2}}$

Langkah 10.5.2.2

Kalikan $3$ dengan $2$ .

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{(x + 2)}^{4} {(x^{2} + 1)}^{6}}$

Langkah 10.6

Susun kembali suku-suku.

$\frac{x^{6} (x^{10} + 8 x^{9} + 12 x^{8} + 20 x^{7} + 10 x^{6} - 24 x^{5} + 16 x^{4} - 76 x^{3} + 45 x^{2} - 40 x + 28)}{{(x^{2} + 1)}^{6} {(x + 2)}^{4}}$