Answer
$3(3a-4)(a^{2}+2)$
Work Step by Step
$9a^{3}-12a^{2}+18a-24=$
...factor out the GCF.
$=3(3a^{3}-4a^{2}+6a-8)$
...factor by grouping.
$=3[a^{2}(3a-4)+2(3a-4)]$
...factor again.
$=3(3a-4)(a^{2}+2)$
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 8 - Polynomials and Factoring - Chapter Review - Page 538: 78
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