Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Review - Page 557: 24



Work Step by Step

$\dfrac{x^{2}-y^{2}}{x^{2}+xy}\div\dfrac{3x^{2}-2xy-y^{2}}{3x^{2}+6x}$ Factor both rational expressions completely: $\dfrac{x^{2}-y^{2}}{x^{2}+xy}\div\dfrac{3x^{2}-2xy-y^{2}}{3x^{2}+6x}=\dfrac{(x-y)(x+y)}{x(x+y)}\div\dfrac{(x-y)(3x+y)}{3x(x+2)}=...$ Evaluate the division and simplify by removing the factors that appear both in the numerator and the denominator of the resulting expression: $...=\dfrac{3x(x+2)(x-y)(x+y)}{x(x+y)(x-y)(3x+y)}=\dfrac{3(x+2)}{3x+y}$
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.