Matemática básica Ejemplos

$15 a^{2} b^{2} c^{4} - 18 a^{2} b^{3} c^{2} + 30 a^{3} b^{4} c^{3} - 3 a^{2} b^{3} c^{3}$

Paso 1

Factoriza $3 a^{2} b^{2} c^{2}$ de $15 a^{2} b^{2} c^{4} - 18 a^{2} b^{3} c^{2} + 30 a^{3} b^{4} c^{3} - 3 a^{2} b^{3} c^{3}$ .

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Paso 1.1

Factoriza $3 a^{2} b^{2} c^{2}$ de $15 a^{2} b^{2} c^{4}$ .

$3 a^{2} b^{2} c^{2} (5 c^{2}) - 18 a^{2} b^{3} c^{2} + 30 a^{3} b^{4} c^{3} - 3 a^{2} b^{3} c^{3}$

Paso 1.2

Factoriza $3 a^{2} b^{2} c^{2}$ de $- 18 a^{2} b^{3} c^{2}$ .

$3 a^{2} b^{2} c^{2} (5 c^{2}) + 3 a^{2} b^{2} c^{2} (- 6 b) + 30 a^{3} b^{4} c^{3} - 3 a^{2} b^{3} c^{3}$

Paso 1.3

Factoriza $3 a^{2} b^{2} c^{2}$ de $30 a^{3} b^{4} c^{3}$ .

$3 a^{2} b^{2} c^{2} (5 c^{2}) + 3 a^{2} b^{2} c^{2} (- 6 b) + 3 a^{2} b^{2} c^{2} (10 a b^{2} c) - 3 a^{2} b^{3} c^{3}$

Paso 1.4

Factoriza $3 a^{2} b^{2} c^{2}$ de $- 3 a^{2} b^{3} c^{3}$ .

$3 a^{2} b^{2} c^{2} (5 c^{2}) + 3 a^{2} b^{2} c^{2} (- 6 b) + 3 a^{2} b^{2} c^{2} (10 a b^{2} c) + 3 a^{2} b^{2} c^{2} (- 1 b c)$

Paso 1.5

Factoriza $3 a^{2} b^{2} c^{2}$ de $3 a^{2} b^{2} c^{2} (5 c^{2}) + 3 a^{2} b^{2} c^{2} (- 6 b)$ .

$3 a^{2} b^{2} c^{2} (5 c^{2} - 6 b) + 3 a^{2} b^{2} c^{2} (10 a b^{2} c) + 3 a^{2} b^{2} c^{2} (- 1 b c)$

Paso 1.6

Factoriza $3 a^{2} b^{2} c^{2}$ de $3 a^{2} b^{2} c^{2} (5 c^{2} - 6 b) + 3 a^{2} b^{2} c^{2} (10 a b^{2} c)$ .

$3 a^{2} b^{2} c^{2} (5 c^{2} - 6 b + 10 a b^{2} c) + 3 a^{2} b^{2} c^{2} (- 1 b c)$

Paso 1.7

Factoriza $3 a^{2} b^{2} c^{2}$ de $3 a^{2} b^{2} c^{2} (5 c^{2} - 6 b + 10 a b^{2} c) + 3 a^{2} b^{2} c^{2} (- 1 b c)$ .

$3 a^{2} b^{2} c^{2} (5 c^{2} - 6 b + 10 a b^{2} c - 1 b c)$

Paso 2

Reescribe $- 1 b$ como $- b$ .

$3 a^{2} b^{2} c^{2} (5 c^{2} - 6 b + 10 a b^{2} c - b c)$