# How do you factor 36x^2-49?

Jun 28, 2015

Use the difference of squares equation: $\left({a}^{2} - {b}^{2}\right) = \left(a + b\right) \left(a - b\right)$.

Identify $a$ and $b$, and substitute the values into the equation.

#### Explanation:

$36 {x}^{2} - 49$ is in the form of the difference of squares: $\left({a}^{2} - {b}^{2}\right) = \left(a + b\right) \left(a - b\right)$

$a = 6 x$
$b = 7$

$36 {x}^{2} - 49 = \left(6 x + 7\right) \left(6 x + 7\right)$