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 - 6.2 Multiplication and Division - 6.2 Exercise Set - Page 385: 60

Answer

$$\frac{2\left(x-1\right)^2}{x}$$

Work Step by Step

Recall, one never divides by a fraction. Rather, if we want to divide by a fraction, we multiply by the reciprocal of the fraction. Recall, the reciprocal of a fraction is that fraction with the numerator and the denominator switched. Thus, we find: $$ \frac{x^2-1}{x}\times \frac{2x-2}{x+1}\\ \frac{\left(x^2-1\right)\left(2x-2\right)}{x\left(x+1\right)}\\ \frac{2\left(x+1\right)\left(x-1\right)^2}{x\left(x+1\right)}\\ \frac{2\left(x-1\right)^2}{x}$$
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.