Solve 4x ^ 2 - 16 = | 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

$$4x^{2}-16=$$

Factor

$4\left(x-2\right)\left(x+2\right)$

Solution Steps

Factor out $4$.

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

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

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

Rewrite the complete factored expression.

$$4\left(x-2\right)\left(x+2\right)$$

Evaluate

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