Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.1 - Simplifying Algebraic Fractions - Problem Set 7.1: 28

Answer

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

Work Step by Step

We factor the expression in the denominator in order to cancel out common factors in the numerator and the denominator: $\frac{x^{3}}{x^{3}-x^{2}y}$ =$\frac{x^{3}}{x^{2}(x-y)}$ =$\frac{x^{3-2}}{(x-y)}$ =$\frac{x}{x-y}$
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