Resolver 8y^4-2y^2

$$8 { y }^{ 4 } -2 { y }^{ 2 }$$

Factorizar

$$2\left(2y-1\right)\left(2y+1\right)y^{2}$$

Pasos da solución

Factoriza 2.

$$2\left(4y^{4}-y^{2}\right)$$

Considera 4y^{4}-y^{2}. Factoriza y^{2}.

$$y^{2}\left(4y^{2}-1\right)$$

Considera 4y^{2}-1. Reescribe 4y^{2}-1 como \left(2y\right)^{2}-1^{2}. Pódese factorizar a diferenza dos cadrados usando a regra: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(2y-1\right)\left(2y+1\right)$$

Reescribe a expresión factorizada completa.

$$2y^{2}\left(2y-1\right)\left(2y+1\right)$$

Calcular

$$8y^{4}-2y^{2}$$