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: 24

Answer

$\color{blue}{\dfrac{13}{k-2}}$

Work Step by Step

The rational expressions have the same denominator so they are similar. Subtract the numerators and copy the denominator to obtain: $=\dfrac{(k+7)-(k-6)}{k-2}$ Subtract each term of the subtrahend to obtain: $=\dfrac{k+7-k-(-6)}{k-2} \\=\dfrac{k+7-k+6}{k-2} \\=\color{blue}{\dfrac{13}{k-2}}$
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