Álgebra Ejemplos

$12 m^{3} n^{3} - 18 m^{2} n^{2} - 24 m^{4} n^{4}$

Paso 1

Reordena la expresión.

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Paso 1.1

Mueve $- 18 m^{2} n^{2}$ .

$12 m^{3} n^{3} - 24 m^{4} n^{4} - 18 m^{2} n^{2}$

Paso 1.2

Reordena $12 m^{3} n^{3}$ y $- 24 m^{4} n^{4}$ .

$- 24 m^{4} n^{4} + 12 m^{3} n^{3} - 18 m^{2} n^{2}$

Paso 2

Factoriza $- 6 m^{2} n^{2}$ de $- 24 m^{4} n^{4}$ .

$- 6 m^{2} n^{2} (4 m^{2} n^{2}) + 12 m^{3} n^{3} - 18 m^{2} n^{2}$

Paso 3

Factoriza $- 6 m^{2} n^{2}$ de $12 m^{3} n^{3}$ .

$- 6 m^{2} n^{2} (4 m^{2} n^{2}) - 6 m^{2} n^{2} (- 2 m n) - 18 m^{2} n^{2}$

Paso 4

Factoriza $- 6 m^{2} n^{2}$ de $- 18 m^{2} n^{2}$ .

$- 6 m^{2} n^{2} (4 m^{2} n^{2}) - 6 m^{2} n^{2} (- 2 m n) - 6 m^{2} n^{2} (3)$

Paso 5

Factoriza $- 6 m^{2} n^{2}$ de $- 6 m^{2} n^{2} (4 m^{2} n^{2}) - 6 m^{2} n^{2} (- 2 m n)$ .

$- 6 m^{2} n^{2} (4 m^{2} n^{2} - 2 m n) - 6 m^{2} n^{2} (3)$

Paso 6

Factoriza $- 6 m^{2} n^{2}$ de $- 6 m^{2} n^{2} (4 m^{2} n^{2} - 2 m n) - 6 m^{2} n^{2} (3)$ .

$- 6 m^{2} n^{2} (4 m^{2} n^{2} - 2 m n + 3)$