Question

How do you factor `16a^2-121`?

Answer 1

`(4a+11)(4a-11)`

Explanation:

This can be factored using difference of squares. Both terms are perfect squares.

`a^2-b^2=(a+b)(a-b)`

First, let's find the square root of each term.

`sqrt(16a^2)=4a`

`sqrt121=11`

`(4a+11)(4a-11)`