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 - Page 53: 36



Work Step by Step

Use the rule $\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}$ to obtain: $=\dfrac{5m+25}{10} \times \dfrac{12}{6m+30}$ Factor the binomials then cancel common factors to obtain: $\require{cancel} =\dfrac{5(m+5)}{5(2)} \times \dfrac{6(2)}{6(m+5)} \\=\dfrac{\cancel{5}\cancel{(m+5)}}{\cancel{5}\cancel{(2)}} \times \dfrac{\cancel{6}\cancel{(2)}}{\cancel{6}\cancel{(m+5)}} \\=\color{blue}{1}$
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