# How do you factor completely 4x^2 - 9y^2?

Nov 17, 2015

color(blue)((2x+3y)(2x-3y) is the factorised form of the expression

#### Explanation:

$4 {x}^{2} - 9 {y}^{2}$ can be also written as ${\left(2 x\right)}^{2} - {\left(3 y\right)}^{2}$

Now, as per identity:
color(blue)(a^2-b^2=(a+b)(a-b)

So , in case of our expression
color(blue)(a=2x, b=3y

(2x)^2-(3y)^2=color(blue)((2x+3y)(2x-3y)