Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.5 Rational Expressions - R.5 Exercises: 37

Answer

$\color{blue}{\dfrac{5x}{y}}$

Work Step by Step

Factor the binomials, then cancel common factors to obtain: $\require{cancel} =\dfrac{x(x+1)}{5} \cdot \dfrac{5(5)}{y(x+1)} \\=\dfrac{x\cancel{(x+1)}}{\cancel{5}} \cdot \dfrac{5\cancel{(5)}}{y\cancel{(x+1)}} \\=\dfrac{x}{1} \cdot \dfrac{5}{y} \\=\color{blue}{\dfrac{5x}{y}}$
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