College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises: 32

Answer

$\frac{2x+y}{x-2y}$

Work Step by Step

We factor all terms and reduce: $\displaystyle \frac{x^{2}+2xy+y^{2}}{x^{2}-y^{2}}*\frac{2x^{2}-xy-y^{2}}{x^{2}-xy-2y^{2}}=\frac{(x+y)(x+y)}{(x-y)(x+y)}*\frac{(x-y)(2x+y)}{(x-2y)(x+y)}=\frac{2x+y}{x-2y}$
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