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 414: 46

Answer

$\frac{x-y}{2x-y}$ and $x\ne-3y$.

Work Step by Step

$\frac{x^2+2xy-3y^2}{2x^2+5xy-3y^2}=\frac{x^2+3xy-xy-3y^2}{2x^2+6xy-xy-3y^2}=\frac{x(x+3y)-y(x+3y)}{2x(x+3y)-y(x+3y)}=\frac{(x+3y)(x-y)}{(x+3y)(2x-y)}=\frac{x-y}{2x-y}$ and $x\ne-3y$.
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.