Matemática discreta Ejemplos

$4 m^{4} n^{4} - 5 n^{2} + 8 m n^{4} + (8 m n^{2} - 6 n^{2} - 8 m^{4} n^{4})$

Paso 1

Elimina los paréntesis.

$4 m^{4} n^{4} - 5 n^{2} + 8 m n^{4} + 8 m n^{2} - 6 n^{2} - 8 m^{4} n^{4}$

Paso 2

Resta $8 m^{4} n^{4}$ de $4 m^{4} n^{4}$ .

$- 5 n^{2} + 8 m n^{4} + 8 m n^{2} - 6 n^{2} - 4 m^{4} n^{4}$

Paso 3

Resta $6 n^{2}$ de $- 5 n^{2}$ .

$- 11 n^{2} + 8 m n^{4} + 8 m n^{2} - 4 m^{4} n^{4}$

Paso 4

Factoriza $n^{2}$ de $- 11 n^{2} + 8 m n^{4} + 8 m n^{2} - 4 m^{4} n^{4}$ .

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Paso 4.1

Factoriza $n^{2}$ de $- 11 n^{2}$ .

$n^{2} \cdot - 11 + 8 m n^{4} + 8 m n^{2} - 4 m^{4} n^{4}$

Paso 4.2

Factoriza $n^{2}$ de $8 m n^{4}$ .

$n^{2} \cdot - 11 + n^{2} (8 m n^{2}) + 8 m n^{2} - 4 m^{4} n^{4}$

Paso 4.3

Factoriza $n^{2}$ de $8 m n^{2}$ .

$n^{2} \cdot - 11 + n^{2} (8 m n^{2}) + n^{2} (8 m) - 4 m^{4} n^{4}$

Paso 4.4

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

$n^{2} \cdot - 11 + n^{2} (8 m n^{2}) + n^{2} (8 m) + n^{2} (- 4 m^{4} n^{2})$

Paso 4.5

Factoriza $n^{2}$ de $n^{2} \cdot - 11 + n^{2} (8 m n^{2})$ .

$n^{2} \cdot (- 11 + 8 m n^{2}) + n^{2} (8 m) + n^{2} (- 4 m^{4} n^{2})$

Paso 4.6

Factoriza $n^{2}$ de $n^{2} \cdot (- 11 + 8 m n^{2}) + n^{2} (8 m)$ .

$n^{2} \cdot (- 11 + 8 m n^{2} + 8 m) + n^{2} (- 4 m^{4} n^{2})$

Paso 4.7

Factoriza $n^{2}$ de $n^{2} \cdot (- 11 + 8 m n^{2} + 8 m) + n^{2} (- 4 m^{4} n^{2})$ .

$n^{2} (- 11 + 8 m n^{2} + 8 m - 4 m^{4} n^{2})$