How do you factor the expression 9x^2-1?

1 Answer
Jan 13, 2016

color(blue)((3x+1)(3x-1) is the factorised form of the expression

Explanation:

9x^2 -1

The expression can be written as :
(3x)^2 -1^2

This is of the form
color(blue)(a^2-b^2 = (a+b)(a-b)

Applying the same:
(3x)^2 -1^2 = color(blue)((3x+1)(3x-1)