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: 68

Answer

$\frac{13x-72}{x(x-8)}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $x(x-8)$. Therefore, we create a common denominator using this LCM and obtain: $\frac{4}{x-8}+\frac{9}{x}$ =$\frac{x(4)+9(x-8)}{x(x-8)}$ =$\frac{4x+9x-72}{x(x-8)}$ =$\frac{13x-72}{x(x-8)}$
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