Question

How to simplify this?

`(a^2-b^2)/(a-b)^2`

Answer 1

`(a+b)/(a-b)`

Explanation:

Given the expression:
`color(white)("XXX")(a^2-b^2)/((a-b)^2)`

Recall that
`color(white)("XXX")(a^2-b^2)=(a+b)(a-b)`

Therefore
`color(white)("XXX")(a^2-b^2)/((a-b)^2) = ((a+b)cancel((a-b)))/((a-b)cancel((a-b)))=(a+b)/(a-b)`