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: 66

Answer

$\frac{y(y+x^{2})}{x(x+y^{2})}$

Work Step by Step

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