# How do you factor 6x^2 - 216?

Aug 14, 2016

$6 {x}^{2} - 216 = 6 \left(x - 6\right) \left(x + 6\right)$

#### Explanation:

The difference of squares identity can be written:

${a}^{2} - {b}^{2} = \left(a - b\right) \left(a + b\right)$

In our example, we find:

$6 {x}^{2} - 216 = 6 \left({x}^{2} - 36\right) = 6 \left({x}^{2} - {6}^{2}\right) = 6 \left(x - 6\right) \left(x + 6\right)$