Solve 16(x)^(2)-64(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

$$16 { x }^{ 2 } -64 { y }^{ 2 }$$

Factor

$16\left(x-2y\right)\left(x+2y\right)$

Solution Steps

Factor out $16$.

$$16\left(x^{2}-4y^{2}\right)$$

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.

$$16\left(x-2y\right)\left(x+2y\right)$$

Evaluate

$16\left(x^{2}-4y^{2}\right)$