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: 52



Work Step by Step

$\dfrac{-2x}{x^{3}-8x}+\dfrac{3x}{x^{3}-8x}$ Evaluate the sum of the two rational expressions: $\dfrac{-2x}{x^{3}-8x}+\dfrac{3x}{x^{3}-8x}=\dfrac{-2x+3x}{x^{3}-8x}=\dfrac{x}{x^{3}-8x}=...$ Take out common factor $x$ in the denominator and simplify: $...=\dfrac{x}{x(x^{2}-8)}=\dfrac{1}{x^{2}-8}$
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