Answer
$-b(x+6)(x+6)$
Work Step by Step
This is a perfect square trinomial in the following manner
$$
-bx^2 -12bx - 36b=-b(x^2+12x+36)=-b(x+6)(x+6)
.$$
One can check as follows
$$
-b(x+6)(x+6)=-b(x^2+12x+36)=-b(x^2+6x+6x+36)=-bx^2 -12bx - 36b
.$$
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: 40
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