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${(2 x^{3} + 3 y^{2})}^{7}$

Langkah 1

Segitiga Pascal dapat ditampilkan sebagai berikut:

$1$

$1 - 1$

$1 - 2 - 1$

$\dots$

$1 - 5 - 10 - 10 - 5 - 1$

$1 - 6 - 15 - 20 - 15 - 6 - 1$

$1 - 7 - 21 - 35 - 35 - 21 - 7 - 1$

Segitiganya dapat digunakan untuk menghitung koefisien dari perluasan ${(a + b)}^{n}$ dengan mengambil pangkat $n$ dan menambahkan $1$ . Koefisien akan sesuai dengan garis $n + 1$ dari segitiga. Untuk ${(2 x^{3} + 3 y^{2})}^{7}$ $n = 7$ sehingga koefisien dari perluasan akan sesuai dengan garis $8$ .

Langkah 2

Perluasan mengikuti aturan ${(a + b)}^{n} = c_{0} a^{n} b^{0} + c_{1} a^{n - 1} b^{1} + c_{n - 1} a^{1} b^{n - 1} + c_{n} a^{0} b^{n}$ . Nilai-nilai koefisien, dari segitiga, adalah $1 - 7 - 21 - 35 - 35 - 21 - 7 - 1$ .

$1 a^{7} b^{0} + 7 a^{6} b + 21 a^{5} b^{2} + 35 a^{4} b^{3} + 35 a^{3} b^{4} + 21 a^{2} b^{5} + 7 a b^{6} + 1 a^{0} b^{7}$

Langkah 3

Substitusikan nilai-nilai aktual dari $a$ $2 x^{3}$ dan $b$ $3 y^{2}$ ke dalam pernyataannya.

$1 {(2 x^{3})}^{7} {(3 y^{2})}^{0} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4

Sederhanakan setiap suku.

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Langkah 4.1

Kalikan ${(2 x^{3})}^{7}$ dengan $1$ .

${(2 x^{3})}^{7} {(3 y^{2})}^{0} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.2

Terapkan kaidah hasil kali ke $2 x^{3}$ .

$2^{7} {(x^{3})}^{7} {(3 y^{2})}^{0} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.3

Naikkan $2$ menjadi pangkat $7$ .

$128 {(x^{3})}^{7} {(3 y^{2})}^{0} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.4

Kalikan eksponen dalam ${(x^{3})}^{7}$ .

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Langkah 4.4.1

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

$128 x^{3 \cdot 7} {(3 y^{2})}^{0} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.4.2

Kalikan $3$ dengan $7$ .

$128 x^{21} {(3 y^{2})}^{0} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.5

Terapkan kaidah hasil kali ke $3 y^{2}$ .

$128 x^{21} (3^{0} {(y^{2})}^{0}) + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.6

Tulis kembali menggunakan sifat komutatif dari perkalian.

$128 \cdot 3^{0} x^{21} {(y^{2})}^{0} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.7

Apa pun yang dinaikkan ke $0$ adalah $1$ .

$128 \cdot 1 x^{21} {(y^{2})}^{0} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.8

Kalikan $128$ dengan $1$ .

$128 x^{21} {(y^{2})}^{0} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.9

Kalikan eksponen dalam ${(y^{2})}^{0}$ .

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Langkah 4.9.1

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

$128 x^{21} y^{2 \cdot 0} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.9.2

Kalikan $2$ dengan $0$ .

$128 x^{21} y^{0} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.10

Apa pun yang dinaikkan ke $0$ adalah $1$ .

$128 x^{21} \cdot 1 + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.11

Kalikan $128$ dengan $1$ .

$128 x^{21} + 7 {(2 x^{3})}^{6} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.12

Terapkan kaidah hasil kali ke $2 x^{3}$ .

$128 x^{21} + 7 (2^{6} {(x^{3})}^{6}) {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.13

Naikkan $2$ menjadi pangkat $6$ .

$128 x^{21} + 7 (64 {(x^{3})}^{6}) {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.14

Kalikan eksponen dalam ${(x^{3})}^{6}$ .

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Langkah 4.14.1

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

$128 x^{21} + 7 (64 x^{3 \cdot 6}) {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.14.2

Kalikan $3$ dengan $6$ .

$128 x^{21} + 7 (64 x^{18}) {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.15

Kalikan $64$ dengan $7$ .

$128 x^{21} + 448 x^{18} {(3 y^{2})}^{1} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.16

Sederhanakan.

$128 x^{21} + 448 x^{18} (3 y^{2}) + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.17

Tulis kembali menggunakan sifat komutatif dari perkalian.

$128 x^{21} + 448 \cdot 3 x^{18} y^{2} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.18

Kalikan $448$ dengan $3$ .

$128 x^{21} + 1344 x^{18} y^{2} + 21 {(2 x^{3})}^{5} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.19

Terapkan kaidah hasil kali ke $2 x^{3}$ .

$128 x^{21} + 1344 x^{18} y^{2} + 21 (2^{5} {(x^{3})}^{5}) {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.20

Naikkan $2$ menjadi pangkat $5$ .

$128 x^{21} + 1344 x^{18} y^{2} + 21 (32 {(x^{3})}^{5}) {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.21

Kalikan eksponen dalam ${(x^{3})}^{5}$ .

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Langkah 4.21.1

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

$128 x^{21} + 1344 x^{18} y^{2} + 21 (32 x^{3 \cdot 5}) {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.21.2

Kalikan $3$ dengan $5$ .

$128 x^{21} + 1344 x^{18} y^{2} + 21 (32 x^{15}) {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.22

Kalikan $32$ dengan $21$ .

$128 x^{21} + 1344 x^{18} y^{2} + 672 x^{15} {(3 y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.23

Terapkan kaidah hasil kali ke $3 y^{2}$ .

$128 x^{21} + 1344 x^{18} y^{2} + 672 x^{15} (3^{2} {(y^{2})}^{2}) + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.24

Tulis kembali menggunakan sifat komutatif dari perkalian.

$128 x^{21} + 1344 x^{18} y^{2} + 672 \cdot 3^{2} x^{15} {(y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.25

Naikkan $3$ menjadi pangkat $2$ .

$128 x^{21} + 1344 x^{18} y^{2} + 672 \cdot 9 x^{15} {(y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.26

Kalikan $672$ dengan $9$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} {(y^{2})}^{2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.27

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

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Langkah 4.27.1

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

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{2 \cdot 2} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.27.2

Kalikan $2$ dengan $2$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 35 {(2 x^{3})}^{4} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.28

Terapkan kaidah hasil kali ke $2 x^{3}$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 35 (2^{4} {(x^{3})}^{4}) {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.29

Naikkan $2$ menjadi pangkat $4$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 35 (16 {(x^{3})}^{4}) {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.30

Kalikan eksponen dalam ${(x^{3})}^{4}$ .

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Langkah 4.30.1

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

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 35 (16 x^{3 \cdot 4}) {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.30.2

Kalikan $3$ dengan $4$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 35 (16 x^{12}) {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.31

Kalikan $16$ dengan $35$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 560 x^{12} {(3 y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.32

Terapkan kaidah hasil kali ke $3 y^{2}$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 560 x^{12} (3^{3} {(y^{2})}^{3}) + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.33

Tulis kembali menggunakan sifat komutatif dari perkalian.

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 560 \cdot 3^{3} x^{12} {(y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.34

Naikkan $3$ menjadi pangkat $3$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 560 \cdot 27 x^{12} {(y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.35

Kalikan $560$ dengan $27$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} {(y^{2})}^{3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.36

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

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Langkah 4.36.1

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

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{2 \cdot 3} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.36.2

Kalikan $2$ dengan $3$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 35 {(2 x^{3})}^{3} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.37

Terapkan kaidah hasil kali ke $2 x^{3}$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 35 (2^{3} {(x^{3})}^{3}) {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.38

Naikkan $2$ menjadi pangkat $3$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 35 (8 {(x^{3})}^{3}) {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.39

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

Ketuk untuk lebih banyak langkah...

Langkah 4.39.1

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

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 35 (8 x^{3 \cdot 3}) {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.39.2

Kalikan $3$ dengan $3$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 35 (8 x^{9}) {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.40

Kalikan $8$ dengan $35$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 280 x^{9} {(3 y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.41

Terapkan kaidah hasil kali ke $3 y^{2}$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 280 x^{9} (3^{4} {(y^{2})}^{4}) + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.42

Tulis kembali menggunakan sifat komutatif dari perkalian.

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 280 \cdot 3^{4} x^{9} {(y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.43

Naikkan $3$ menjadi pangkat $4$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 280 \cdot 81 x^{9} {(y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.44

Kalikan $280$ dengan $81$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} {(y^{2})}^{4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.45

Kalikan eksponen dalam ${(y^{2})}^{4}$ .

Ketuk untuk lebih banyak langkah...

Langkah 4.45.1

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

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{2 \cdot 4} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.45.2

Kalikan $2$ dengan $4$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 21 {(2 x^{3})}^{2} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.46

Terapkan kaidah hasil kali ke $2 x^{3}$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 21 (2^{2} {(x^{3})}^{2}) {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.47

Naikkan $2$ menjadi pangkat $2$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 21 (4 {(x^{3})}^{2}) {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.48

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

Ketuk untuk lebih banyak langkah...

Langkah 4.48.1

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

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 21 (4 x^{3 \cdot 2}) {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.48.2

Kalikan $3$ dengan $2$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 21 (4 x^{6}) {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.49

Kalikan $4$ dengan $21$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 84 x^{6} {(3 y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.50

Terapkan kaidah hasil kali ke $3 y^{2}$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 84 x^{6} (3^{5} {(y^{2})}^{5}) + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.51

Tulis kembali menggunakan sifat komutatif dari perkalian.

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 84 \cdot 3^{5} x^{6} {(y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.52

Naikkan $3$ menjadi pangkat $5$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 84 \cdot 243 x^{6} {(y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.53

Kalikan $84$ dengan $243$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} {(y^{2})}^{5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.54

Kalikan eksponen dalam ${(y^{2})}^{5}$ .

Ketuk untuk lebih banyak langkah...

Langkah 4.54.1

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

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{2 \cdot 5} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.54.2

Kalikan $2$ dengan $5$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 7 {(2 x^{3})}^{1} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.55

Sederhanakan.

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 7 (2 x^{3}) {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.56

Kalikan $2$ dengan $7$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 14 x^{3} {(3 y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.57

Terapkan kaidah hasil kali ke $3 y^{2}$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 14 x^{3} (3^{6} {(y^{2})}^{6}) + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.58

Tulis kembali menggunakan sifat komutatif dari perkalian.

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 14 \cdot 3^{6} x^{3} {(y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.59

Naikkan $3$ menjadi pangkat $6$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 14 \cdot 729 x^{3} {(y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.60

Kalikan $14$ dengan $729$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} {(y^{2})}^{6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.61

Kalikan eksponen dalam ${(y^{2})}^{6}$ .

Ketuk untuk lebih banyak langkah...

Langkah 4.61.1

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

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{2 \cdot 6} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.61.2

Kalikan $2$ dengan $6$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + 1 {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.62

Kalikan ${(2 x^{3})}^{0}$ dengan $1$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + {(2 x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.63

Terapkan kaidah hasil kali ke $2 x^{3}$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + 2^{0} {(x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.64

Apa pun yang dinaikkan ke $0$ adalah $1$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + 1 {(x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.65

Kalikan ${(x^{3})}^{0}$ dengan $1$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + {(x^{3})}^{0} {(3 y^{2})}^{7}$

Langkah 4.66

Kalikan eksponen dalam ${(x^{3})}^{0}$ .

Ketuk untuk lebih banyak langkah...

Langkah 4.66.1

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

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + x^{3 \cdot 0} {(3 y^{2})}^{7}$

Langkah 4.66.2

Kalikan $3$ dengan $0$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + x^{0} {(3 y^{2})}^{7}$

Langkah 4.67

Apa pun yang dinaikkan ke $0$ adalah $1$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + 1 {(3 y^{2})}^{7}$

Langkah 4.68

Kalikan ${(3 y^{2})}^{7}$ dengan $1$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + {(3 y^{2})}^{7}$

Langkah 4.69

Terapkan kaidah hasil kali ke $3 y^{2}$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + 3^{7} {(y^{2})}^{7}$

Langkah 4.70

Naikkan $3$ menjadi pangkat $7$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + 2187 {(y^{2})}^{7}$

Langkah 4.71

Kalikan eksponen dalam ${(y^{2})}^{7}$ .

Ketuk untuk lebih banyak langkah...

Langkah 4.71.1

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

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + 2187 y^{2 \cdot 7}$

Langkah 4.71.2

Kalikan $2$ dengan $7$ .

$128 x^{21} + 1344 x^{18} y^{2} + 6048 x^{15} y^{4} + 15120 x^{12} y^{6} + 22680 x^{9} y^{8} + 20412 x^{6} y^{10} + 10206 x^{3} y^{12} + 2187 y^{14}$