# How do you factor 3x^2-12?

Mar 21, 2018

$3 \left(x - 2\right) \left(x + 2\right)$

#### Explanation:

First, we find any like terms that we can factor out of the entire equation. In this case, we can factor out a three.

This gives us:
$3 \left({x}^{2} - 4\right)$

We can simplify this even further using The Difference of Squares

${x}^{2} - 4 = 0$
${x}^{2} = 4$
$\sqrt{{x}^{2}} = \sqrt{4}$
$x = 4 , - 4$

Therefore the factors of ${x}^{2} - 4$ are $\left(x - 2\right)$ and $\left(x + 2\right)$

Putting this all together, we get:

$3 \left(x - 2\right) \left(x + 2\right)$.