Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 6 - Rational Expressions and Equations - Mid-Chapter Review - Mixed Review - Page 404: 17



Work Step by Step

Recall, one never divides by a fraction. Rather, if we want to divide by a fraction, we multiply by the reciprocal of the fraction. Recall, the reciprocal of a fraction is that fraction with the numerator and the denominator switched. Thus, we find: $$ \frac{\left(3u^2-3\right)}{4}\times \frac{3}{4u+4}\\ \frac{9\left(u+1\right)\left(u-1\right)}{4\left(4u+4\right)}\\ \frac{9\left(u+1\right)\left(u-1\right)}{16\left(u+1\right)}\\ \frac{9\left(u-1\right)}{16}$$
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