Álgebra Ejemplos

$16 a^{4} + 64 a^{3} b^{2} + 96 a^{2} b^{4} + 64 a b^{6} + 16 b^{8}$

Paso 1

Factoriza $16$ de $16 a^{4}$ .

$16 (a^{4}) + 64 a^{3} b^{2} + 96 a^{2} b^{4} + 64 a b^{6} + 16 b^{8}$

Paso 2

Factoriza $16$ de $64 a^{3} b^{2}$ .

$16 (a^{4}) + 16 (4 a^{3} b^{2}) + 96 a^{2} b^{4} + 64 a b^{6} + 16 b^{8}$

Paso 3

Factoriza $16$ de $96 a^{2} b^{4}$ .

$16 (a^{4}) + 16 (4 a^{3} b^{2}) + 16 (6 a^{2} b^{4}) + 64 a b^{6} + 16 b^{8}$

Paso 4

Factoriza $16$ de $64 a b^{6}$ .

$16 (a^{4}) + 16 (4 a^{3} b^{2}) + 16 (6 a^{2} b^{4}) + 16 (4 a b^{6}) + 16 b^{8}$

Paso 5

Factoriza $16$ de $16 b^{8}$ .

$16 (a^{4}) + 16 (4 a^{3} b^{2}) + 16 (6 a^{2} b^{4}) + 16 (4 a b^{6}) + 16 (b^{8})$

Paso 6

Factoriza $16$ de $16 (a^{4}) + 16 (4 a^{3} b^{2})$ .

$16 (a^{4} + 4 a^{3} b^{2}) + 16 (6 a^{2} b^{4}) + 16 (4 a b^{6}) + 16 (b^{8})$

Paso 7

Factoriza $16$ de $16 (a^{4} + 4 a^{3} b^{2}) + 16 (6 a^{2} b^{4})$ .

$16 (a^{4} + 4 a^{3} b^{2} + 6 a^{2} b^{4}) + 16 (4 a b^{6}) + 16 (b^{8})$

Paso 8

Factoriza $16$ de $16 (a^{4} + 4 a^{3} b^{2} + 6 a^{2} b^{4}) + 16 (4 a b^{6})$ .

$16 (a^{4} + 4 a^{3} b^{2} + 6 a^{2} b^{4} + 4 a b^{6}) + 16 (b^{8})$

Paso 9

Factoriza $16$ de $16 (a^{4} + 4 a^{3} b^{2} + 6 a^{2} b^{4} + 4 a b^{6}) + 16 (b^{8})$ .

$16 (a^{4} + 4 a^{3} b^{2} + 6 a^{2} b^{4} + 4 a b^{6} + b^{8})$