# How do you factor 36a^2x - b^2?

Jul 21, 2018

This can't be factorized further, but assuming...

#### Explanation:

It was given as below;

$36 {a}^{2} - {b}^{2}$

Then it can be factorized as;

$\left(6 a + b\right) \left(6 a - b\right)$

$36 {a}^{2} - {b}^{2}$

Rewriting as;

${6}^{2} {a}^{2} - {b}^{2}$

Using indices rule;

${x}^{2} {y}^{2} = {\left(x y\right)}^{2}$

Hence;

${\left(6 a\right)}^{2} - {b}^{2}$

Recall, difference of two squares: ${x}^{2} - {y}^{2} = \left(x + y\right) \left(x - y\right)$

$\left(6 a + b\right) \left(6 a - b\right)$