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: 74

Answer

$\frac{-4}{x(3x-2)}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $x(3x-2)$. Therefore, we create a common denominator using this LCM and obtain: $\frac{2}{x}-\frac{6}{3x-2}$ =$\frac{2(3x-2)-6(x)}{x(3x-2)}$ =$\frac{6x-6x-4}{x(3x-2)}$ =$\frac{-4}{x(3x-2)}$
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