# How do you factor 25x^2 - 100?

$25 {x}^{2} - 100$
We know that color(green)(a^2 - b^2 = (a+b)(a-b)
$25 {x}^{2} - 100 = {\left(5 x\right)}^{2} - {\left(10\right)}^{2}$
(5x)^2 - (10)^2 = color(green)((5x+10)(5x-10) , is the factorised form.