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: 75



Work Step by Step

By inspection, we see that the LCM of the denominators is $(x+4)(x-3)$. Therefore, we create a common denominator using this LCM and obtain: $\frac{4}{x+4}+\frac{6}{x-3}$ =$\frac{4(x-3)+6(x+4)}{(x+4)(x-3)}$ =$\frac{4x-12+6x+24}{(x+4)(x-3)}$ =$\frac{10x+12}{(x+4)(x-3)}$
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