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: 70

Answer

$\frac{-2n-21}{n(n+3)}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $n(n+3)$. Therefore, we create a common denominator using this LCM and obtain: $\frac{5}{n+3}-\frac{7}{n}$ =$\frac{n(5)-7(n+3)}{n(n+3)}$ =$\frac{5n-7n-21}{n(n+3)}$ =$\frac{-2n-21}{n(n+3)}$
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