# How do you use the difference of two squares formula to factor 64a^2b^2 - c^2d^2?

May 4, 2018

$= \left(8 a b - c d\right) \left(8 a b + c d\right)$

#### Explanation:

The difference of two squares formula

color(red)( a^2 - b^2 = (a-b)(a+b)

So

$\textcolor{g r e e n}{64 = {8}^{2}}$

${8}^{2} {a}^{2} {b}^{2} - {c}^{2} {d}^{2} =$

${\left(8 a b\right)}^{2} - \left(c {d}^{2}\right) =$

$\left(8 a b - c d\right) \left(8 a b + c d\right)$