Answer
$ \frac{9m^{2}(m+1)}{2}$
Work Step by Step
Given : $\frac{3m^{3}-3m}{4m^{2}+4m-8} \times (6m^{2}+12m)$
$= \frac{3m(m-1)(m+1)}{4(m-1)(m+2)} \times 6m(m+2)$
$= \frac{9m^{2}(m+1)}{2}$
(After dividing out the common factors (m-1) and (m+2))
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Practice and Problem-Solving Exercises - Page 676: 66
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