Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.1 - Rational Expressions and Functions; Multiplying and Dividing - Exercise Set - Page 417: 135

Answer

It makes sense

Work Step by Step

A rational expression is written in the form $\dfrac{p}{q}$, where $p$ and $q$ are polynomials. In order to simplify, multiply, or divide rational expressions, we must know how to factor their numerators and denominators, otherwise we cannot simplify them by dividing by the common factors. Imagine how the results of the following multiplication might look like without factoring: $$\dfrac{x^3+x^2+x}{x^4-1}\cdot\dfrac{x^4-2x^2+1}{x^3-1}.$$ So the statement makes sense.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.