Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - 7.4 Adding and Subtracting Rational Expressions - 7.4 Exercises - Page 589: 22



Work Step by Step

The rational expressions have the same denominator so they are similar. Add the numerators and copy the denominator to obtain: $=\dfrac{b-3+b-15}{b-9} \\=\dfrac{2b-18}{b-9}$ Factor out $ 2$ in the numerator to obtain: $\\=\dfrac{2(b-9)}{b-9}$ Cancel the common factors to obtain: $\\=\color{blue}{2}$
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