How do you factor 4x^2 - 16?

1 Answer
Jul 3, 2015

So, 4x^2 -16 =color(blue)((2x+4)(2x-4).

Explanation:

4x^2 - 16 is of the form color(blue)(a^2 - b^2 (where a=2x , b=4) , and as per the identity:
color(blue)(a^2 - b^2= (a+b)(a-b)

So, 4x^2 -16 =color(blue)((2x+4)(2x-4).