Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.2 - Multiplying and Dividing Rational Expressions - Exercise Set: 10

Answer

$\dfrac{x^{2}+x}{8}\cdot\dfrac{16}{x+1}=2x$

Work Step by Step

$\dfrac{x^{2}+x}{8}\cdot\dfrac{16}{x+1}$ Factor the numerator of the first fraction by taking out common factor $x$: $\dfrac{x^{2}+x}{8}\cdot\dfrac{16}{x+1}=\dfrac{x(x+1)}{8}\cdot\dfrac{16}{x+1}=...$ Multiply the two rational expressions and simplify by removing repeated factors in the numerator and the denominator: $...=\dfrac{16x(x+1)}{8(x+1)}=\dfrac{16x}{8}=2x$
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