# How do you factor 4x^2-36y^2 ?

Jan 8, 2016

(2x - 6y )(2x + 6y )

#### Explanation:

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

is a difference of two squares since the values on either side of the difference (- ) are perfect squares. the factor of

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

in the question given then a = 2x and b = 6y

$\Rightarrow 4 {x}^{2} - 36 {y}^{2} = \left(2 x - 6 y\right) \left(2 x + 6 y\right)$