Answer
$$(b-c)(b+c).$$
Work Step by Step
This is a difference between two squares, and hence
$$b^2-c^2=(b-c)(b+c).$$
One can check as follows
$$(b-c)(b+c)=b^2-bc+bc-c^2=b^2-c^2
.$$
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: 3
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