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$f (z) = z^{8}$ , $g (x) = 3 x^{2} + 4$

Langkah 1

Tulis fungsi hasil komposit.

$f (g (x))$

Langkah 2

Evaluasi $f (3 x^{2} + 4)$ dengan mensubstitusikan nilai (Variabel1) ke dalam (Variabel2).

$f (3 x^{2} + 4) = {(3 x^{2} + 4)}^{8}$

Langkah 3

Gunakan Teorema Binomial.

$f (3 x^{2} + 4) = {(3 x^{2})}^{8} + 8 {(3 x^{2})}^{7} \cdot 4 + 28 {(3 x^{2})}^{6} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4

Sederhanakan setiap suku.

Ketuk untuk lebih banyak langkah...

Langkah 4.1

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

$f (3 x^{2} + 4) = 3^{8} {(x^{2})}^{8} + 8 {(3 x^{2})}^{7} \cdot 4 + 28 {(3 x^{2})}^{6} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.2

Naikkan $3$ menjadi pangkat $8$ .

$f (3 x^{2} + 4) = 6561 {(x^{2})}^{8} + 8 {(3 x^{2})}^{7} \cdot 4 + 28 {(3 x^{2})}^{6} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.3

Kalikan eksponen dalam ${(x^{2})}^{8}$ .

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Langkah 4.3.1

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

$f (3 x^{2} + 4) = 6561 x^{2 \cdot 8} + 8 {(3 x^{2})}^{7} \cdot 4 + 28 {(3 x^{2})}^{6} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.3.2

Kalikan $2$ dengan $8$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 8 {(3 x^{2})}^{7} \cdot 4 + 28 {(3 x^{2})}^{6} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.4

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

$f (3 x^{2} + 4) = 6561 x^{16} + 8 (3^{7} {(x^{2})}^{7}) \cdot 4 + 28 {(3 x^{2})}^{6} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.5

Naikkan $3$ menjadi pangkat $7$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 8 (2187 {(x^{2})}^{7}) \cdot 4 + 28 {(3 x^{2})}^{6} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.6

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

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Langkah 4.6.1

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

$f (3 x^{2} + 4) = 6561 x^{16} + 8 (2187 x^{2 \cdot 7}) \cdot 4 + 28 {(3 x^{2})}^{6} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.6.2

Kalikan $2$ dengan $7$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 8 (2187 x^{14}) \cdot 4 + 28 {(3 x^{2})}^{6} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.7

Kalikan $2187$ dengan $8$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 17496 x^{14} \cdot 4 + 28 {(3 x^{2})}^{6} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.8

Kalikan $4$ dengan $17496$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 28 {(3 x^{2})}^{6} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.9

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

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 28 (3^{6} {(x^{2})}^{6}) \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.10

Naikkan $3$ menjadi pangkat $6$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 28 (729 {(x^{2})}^{6}) \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.11

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

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Langkah 4.11.1

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

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 28 (729 x^{2 \cdot 6}) \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.11.2

Kalikan $2$ dengan $6$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 28 (729 x^{12}) \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.12

Kalikan $729$ dengan $28$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 20412 x^{12} \cdot 4^{2} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.13

Naikkan $4$ menjadi pangkat $2$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 20412 x^{12} \cdot 16 + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.14

Kalikan $16$ dengan $20412$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 56 {(3 x^{2})}^{5} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.15

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

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 56 (3^{5} {(x^{2})}^{5}) \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.16

Naikkan $3$ menjadi pangkat $5$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 56 (243 {(x^{2})}^{5}) \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.17

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

Ketuk untuk lebih banyak langkah...

Langkah 4.17.1

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

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 56 (243 x^{2 \cdot 5}) \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.17.2

Kalikan $2$ dengan $5$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 56 (243 x^{10}) \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.18

Kalikan $243$ dengan $56$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 13608 x^{10} \cdot 4^{3} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.19

Naikkan $4$ menjadi pangkat $3$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 13608 x^{10} \cdot 64 + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.20

Kalikan $64$ dengan $13608$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 70 {(3 x^{2})}^{4} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.21

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

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 70 (3^{4} {(x^{2})}^{4}) \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.22

Naikkan $3$ menjadi pangkat $4$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 70 (81 {(x^{2})}^{4}) \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.23

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

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Langkah 4.23.1

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

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 70 (81 x^{2 \cdot 4}) \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.23.2

Kalikan $2$ dengan $4$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 70 (81 x^{8}) \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.24

Kalikan $81$ dengan $70$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 5670 x^{8} \cdot 4^{4} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.25

Naikkan $4$ menjadi pangkat $4$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 5670 x^{8} \cdot 256 + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.26

Kalikan $256$ dengan $5670$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 56 {(3 x^{2})}^{3} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.27

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

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 56 (3^{3} {(x^{2})}^{3}) \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.28

Naikkan $3$ menjadi pangkat $3$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 56 (27 {(x^{2})}^{3}) \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.29

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

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Langkah 4.29.1

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

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 56 (27 x^{2 \cdot 3}) \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.29.2

Kalikan $2$ dengan $3$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 56 (27 x^{6}) \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.30

Kalikan $27$ dengan $56$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1512 x^{6} \cdot 4^{5} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.31

Naikkan $4$ menjadi pangkat $5$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1512 x^{6} \cdot 1024 + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.32

Kalikan $1024$ dengan $1512$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 28 {(3 x^{2})}^{2} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.33

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

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 28 (3^{2} {(x^{2})}^{2}) \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.34

Naikkan $3$ menjadi pangkat $2$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 28 (9 {(x^{2})}^{2}) \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.35

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

Ketuk untuk lebih banyak langkah...

Langkah 4.35.1

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

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 28 (9 x^{2 \cdot 2}) \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.35.2

Kalikan $2$ dengan $2$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 28 (9 x^{4}) \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.36

Kalikan $9$ dengan $28$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 252 x^{4} \cdot 4^{6} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.37

Naikkan $4$ menjadi pangkat $6$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 252 x^{4} \cdot 4096 + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.38

Kalikan $4096$ dengan $252$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 1032192 x^{4} + 8 (3 x^{2}) \cdot 4^{7} + 4^{8}$

Langkah 4.39

Kalikan $3$ dengan $8$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 1032192 x^{4} + 24 x^{2} \cdot 4^{7} + 4^{8}$

Langkah 4.40

Naikkan $4$ menjadi pangkat $7$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 1032192 x^{4} + 24 x^{2} \cdot 16384 + 4^{8}$

Langkah 4.41

Kalikan $16384$ dengan $24$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 1032192 x^{4} + 393216 x^{2} + 4^{8}$

Langkah 4.42

Naikkan $4$ menjadi pangkat $8$ .

$f (3 x^{2} + 4) = 6561 x^{16} + 69984 x^{14} + 326592 x^{12} + 870912 x^{10} + 1451520 x^{8} + 1548288 x^{6} + 1032192 x^{4} + 393216 x^{2} + 65536$