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: 72

Answer

$\frac{5n-72}{n(n-9)}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $n(n-9)$. Therefore, we create a common denominator using this LCM and obtain: $\frac{8}{n}-\frac{3}{n-9}$ =$\frac{8(n-9)-3(n)}{n(n-9)}$ =$\frac{8n-3n-72}{n(n-9)}$ =$\frac{5n-72}{n(n-9)}$
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