Answer
$a(m-7)(m-7)$
Work Step by Step
This is a perfect square trinomial in the following manner
$$
am^2-14am+49a=a(m^2-14m+49)=a(m-7)(m-7)
.$$
One can check as follows
$$
a(m-7)(m-7)=a(m^2-7m-7m+49)=a(m^2-14m+49)=am^2-14am+49a
.$$
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: 39
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