Solve 4z(x)^(2)-z(y)^(2) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$4z { x }^{ 2 } -z { y }^{ 2 }$$

Factor

$z\left(2x-y\right)\left(2x+y\right)$

Solution Steps

Factor out $z$.

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

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

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

Rewrite the complete factored expression.

$$z\left(2x-y\right)\left(2x+y\right)$$

Evaluate

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