Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.3 - Adding and Subtracting Algebraic Fractions - Problem Set 7.3 - Page 292: 71



Work Step by Step

By inspection, we see that the LCM of the denominators is $n(n+4)$. Therefore, we create a common denominator using this LCM and obtain: $\frac{4}{n}-\frac{6}{n+4}$ =$\frac{4(n+4)-6(n)}{n(n+4)}$ =$\frac{4n-6n+16}{n(n+4)}$ =$\frac{-2n+16}{n(n+4)}$
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