Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.2 - Multiplying and Dividing Rational Expressions - Exercise Set - Page 499: 12



Work Step by Step

$\dfrac{(m-n)^{2}}{m+n}\cdot\dfrac{m}{m^{2}-mn}$ Factor the denominator of the second fraction by taking out common factor $m$: $\dfrac{(m-n)^{2}}{m+n}\cdot\dfrac{m}{m^{2}-mn}=\dfrac{(m-n)^{2}}{m+n}\cdot\dfrac{m}{m(m-n)}=...$ Multiply the two rational expressions and simplify by removing the repeated factors in the numerator and the denominator: $...=\dfrac{m(m-n)^{2}}{m(m+n)(m-n)}=\dfrac{(m-n)^{2}}{(m+n)(m-n)}=\dfrac{m-n}{m+n}$
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.