Solve 8x ^ 2 - 32y ^ 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

$$8x^{2}-32y^{2}$$

Factor

$8\left(x-2y\right)\left(x+2y\right)$

Solution Steps

Factor out $8$.

$$8\left(x^{2}-4y^{2}\right)$$

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

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

Rewrite the complete factored expression.

$$8\left(x-2y\right)\left(x+2y\right)$$

Evaluate

$8\left(x^{2}-4y^{2}\right)$