Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.1 - Simplifying Rational Expressions - Exercise Set: 45

Answer

$\dfrac{x^{2}+7x+10}{x^{2}-3x-10}=\dfrac{x+5}{x-5}$

Work Step by Step

$\dfrac{x^{2}+7x+10}{x^{2}-3x-10}$ Factor the numerator: $\dfrac{x^{2}+7x+10}{x^{2}-3x-10}=\dfrac{(x+5)(x+2)}{x^{2}-3x-10}=...$ Factor the denominator and simplify: $...=\dfrac{(x+5)(x+2)}{(x+2)(x-5)}=\dfrac{x+5}{x-5}$
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