Solve 8y^4-2y^2

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

Factor

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

Solution Steps

Factor out 2.

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

Consider 4y^{4}-y^{2}. Factor out y^{2}.

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

Consider 4y^{2}-1. Rewrite 4y^{2}-1 as \left(2y\right)^{2}-1^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

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

Rewrite the complete factored expression.

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

Evaluate

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