Answer
$
(2x+6)(2x+6)=4(x+3)^2
$
Work Step by Step
This is a perfect square trinomial, and hence
$$
4x^2+24x+36=(2x+6)(2x+6)=4(x+3)^2
.$$
One can check as follows
$$
4(x+3)^2=(2x+6)(2x+6)=4x^2+12x+12x+36=4x^2+24x+36
.$$
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: 35
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