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: 88



Work Step by Step

We first create common denominators: $ \frac{1}{(x+3)(x-3)} + \frac{2(x-3)}{(x+3)(x-3)} + \frac{3(x+3)}{(x+3)(x-3)}$ We now use the distributive property and combine like terms to find: $ \frac{1+2x-6+3x+9}{(x+3)(x-3)} \\ \frac{5x+4}{(x+3)(x-3)}$
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