Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Review: 26

Answer

$\dfrac{x}{x^{2}+2x-15}+\dfrac{5}{x^{2}+2x-15}=\dfrac{1}{x-3}$

Work Step by Step

$\dfrac{x}{x^{2}+2x-15}+\dfrac{5}{x^{2}+2x-15}$ Evaluate the sum of the two rational expressions: $\dfrac{x}{x^{2}+2x-15}+\dfrac{5}{x^{2}+2x-15}=\dfrac{x+5}{x^{2}+2x-15}=...$ Factor the denominator of the resulting expression and simplify: $...=\dfrac{x+5}{(x+5)(x-3)}=\dfrac{1}{x-3}$
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