Question

How do you factor `32x^2 – 8`?

Answer 1

`8` is a common factor to both the terms in the expression:

`32x^2 - 8 = 8(4x^2 - 1)`

`= 8((2x)^2 - 1^2)`

We know that `color(blue)(a^2 - b^2 = (a+b)(a-b)`

Hence the above expression can be written as :

`= color(green)(8(2x+1)(2x-1)`