Answer
$ay(2y-3)^{2}$
Work Step by Step
$ 4ay^{3}-12ay^{2}+9ay\qquad$...factor out the common term, $ay$
$=ay(4y^{2}-12y+9)\qquad$...recognize a perfect square trinomial.
$(A\pm B)^{2}=A^{2}\pm 2AB+B^{2}$; $A=z,\ B=12$
$=ay(2y-3)^{2}$
Introductory Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-805-X
ISBN 13:
978-0-13417-805-9
Chapter 6 - Section 6.5 - A General Factoring Strategy - Exercise Set - Page 463: 108
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