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: 65

Answer

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

Work Step by Step

We multiply by $xy$, distribute and simplify: $\displaystyle \frac{x-\frac{x}{y}}{y-\frac{y}{x}}=\frac{xy(x-\frac{x}{y})}{xy(y-\frac{y}{x})}=\frac{x^{2}y-x^{2}}{xy^{2}-y^{2}}=\frac{x^{2}(y-1)}{y^{2}(x-1)}$
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