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 6.2 - Adding and Subtracting Rational Expressions - Exercise Set - Page 430: 107

Answer

$xy^2 +y^{3}$.

Work Step by Step

The given expression is $=x^2y^2 \left ( \frac{1}{x}+\frac{y}{x^2} \right )$ Use the distributive property. $=x^2y^2 \left ( \frac{1}{x}\right )+x^2y^2\left ( \frac{y}{x^2} \right )$ Cancel common terms. $=xy^2 +y^{2+1}$ Simplify. $=xy^2 +y^{3}$.
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