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: 78



Work Step by Step

By inspection, we see that the LCM of the denominators is $(x-1)(x+6)$. Therefore, we create a common denominator using this LCM and obtain: $\frac{5}{x-1}-\frac{4}{x+6}$ =$\frac{5(x+6)-4(x-1)}{(x-1)(x+6)}$ =$\frac{5x+30-4x+4}{(x-1)(x+6)}$ =$\frac{x+34}{(x-1)(x+6)}$
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