Matemática discreta Ejemplos

$f (x) = \frac{7 x^{4} - 14 x^{2}}{6 x^{2} + 3}$

Paso 1

Factoriza $7 x^{2}$ de $7 x^{4} - 14 x^{2}$ .

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Paso 1.1

Factoriza $7 x^{2}$ de $7 x^{4}$ .

$f (x) = \frac{7 x^{2} (x^{2}) - 14 x^{2}}{6 x^{2} + 3}$

Paso 1.2

Factoriza $7 x^{2}$ de $- 14 x^{2}$ .

$f (x) = \frac{7 x^{2} (x^{2}) + 7 x^{2} (- 2)}{6 x^{2} + 3}$

Paso 1.3

Factoriza $7 x^{2}$ de $7 x^{2} (x^{2}) + 7 x^{2} (- 2)$ .

$f (x) = \frac{7 x^{2} (x^{2} - 2)}{6 x^{2} + 3}$

Paso 2

Factoriza $3$ de $6 x^{2} + 3$ .

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Paso 2.1

Factoriza $3$ de $6 x^{2}$ .

$f (x) = \frac{7 x^{2} (x^{2} - 2)}{3 (2 x^{2}) + 3}$

Paso 2.2

Factoriza $3$ de $3$ .

$f (x) = \frac{7 x^{2} (x^{2} - 2)}{3 (2 x^{2}) + 3 (1)}$

Paso 2.3

Factoriza $3$ de $3 (2 x^{2}) + 3 (1)$ .

$f (x) = \frac{7 x^{2} (x^{2} - 2)}{3 (2 x^{2} + 1)}$