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 - Page 281: 23

Answer

-4x

Work Step by Step

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