# Factors of a Product

Simplify

First, factor each polynomial.

Then, "cancel" any common factors in numerator and
denominator. (Canceling is the

process of dividing numerator and denominator by a common factor.)

Factor completely the following:

Notice that

But

But this is a difference of squares, so

Simplifying, we get

Notice that

So

But this is a difference of squares, so

Simplifying, we get

Since this is a difference of squares,

Since the first factor is a difference of cubes and the
second a sum of cubes, we get

But the first factor is a difference of squares, so