Question

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

Answer 1

`25x^2 - 100`
We know that `color(green)(a^2 - b^2 = (a+b)(a-b)`

`25x^2 - 100 = (5x)^2 - (10)^2`

`(5x)^2 - (10)^2 = color(green)((5x+10)(5x-10)` , is the factorised form.