Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 6 - Rational Expressions and Equations - 6.1 Rational Expressions - 6.1 Exercise Set - Page 380: 77



Work Step by Step

In order to simplify the given expression, we look for common factors in the numerator and the denominator. Next, we cancel out these common factors to simplify completely. Doing this, we find: $$ \frac{x^3+6x^2-4x-24}{x^2+4x-12}\\ \frac{\left(x+6\right)\left(x^2-4\right)}{\left(x-2\right)\left(x+6\right)}\\ \frac{\left(x+2\right)\left(x-2\right)}{x-2}\\ x+2$$
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.