Answer
$-2(y-3)(y-3)$
Work Step by Step
This is a perfect square trinomial in the following manner
$$
-2y^2+12y-18=-2(y^2-6y+9)=-2(y-3)(y-3)
.$$
One can check as follows
$$
-2(y-3)(y-3)= -2(y^2-3y-3y+9)= -2(y^2-6y+9)=-2y^2+12y-18
.$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 10 - Section 10.5 - Finding Factors of Special Products - Exercise - Page 354: 36
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