Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator - Exercise Set - Page 509: 54



Work Step by Step

$\dfrac{-2x}{x^{3}-8x}\div\dfrac{3x}{x^{3}-8x}$ Evaluate the division of the two rational expressions and then simplify: $\dfrac{-2x}{x^{3}-8x}\div\dfrac{3x}{x^{3}-8x}=\dfrac{(-2x)(x^{3}-8x)}{(3x)(x^{3}-8x)}=\dfrac{-2x}{3x}=-\dfrac{2}{3}$
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