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: 41

Answer

$\dfrac{x^{3}+7x^{2}}{x^{2}+5x-14}=\dfrac{x^{2}}{x-2}$

Work Step by Step

$\dfrac{x^{3}+7x^{2}}{x^{2}+5x-14}$ Take out common factor $x^{2}$ in the numerator: $\dfrac{x^{3}+7x^{2}}{x^{2}+5x-14}=\dfrac{x^{2}(x+7)}{x^{2}+5x-14}=...$ Factor the denominator and simplify: $...=\dfrac{x^{2}(x+7)}{(x+7)(x-2)}=\dfrac{x^{2}}{x-2}$
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