Question

How do you factor this? Thank you so much! `16x^2-9`

Answer 1

`(4x+3)(4x-3)`

Explanation:

This is a difference of squares: `(a^2-b^2)=(a+b)(a-b)`

First let's find the square roots of the two terms.

`sqrt(16x^2)=4x rarr` This represents `a`

`sqrt9=3 rarr` This represents `b`

Thus, it would be factored out to `(4x+3)(4x-3)`