Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.1 - Simplifying Algebraic Fractions - Problem Set 7.1: 24

Answer

$-\frac{1}{3x}$

Work Step by Step

We factor the expression in the denominator in order to cancel out common factors in the numerator and the denominator: Step 1: $\frac{9-x^{2}}{3x^{3}-27x}$ Step 2: $\frac{9-x^{2}}{-3x(9-x^{2})}$ Step 3: $\frac{1}{-3x}$ Step 4: $-\frac{1}{3x}$
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