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: 13

Answer

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

Work Step by Step

We first factor the denominator of the fraction: $\frac{xy}{x^{2}-2x}$ $\frac{xy}{x(x-2)}$ Cancelling $x$ as it is common to both numerator and denominator, we obtain: $\frac{xy}{x(x-2)}=\frac{y}{(x-2)}$
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