Answer
False.
Work Step by Step
The given expression is
$=(3+7i)(3-7i)$
Use the special formula $(A+B)(A-B)=A^2-B^2$.
$=(3)^2-(7i)^2$
Simplify.
$=9-49i^2$
Use $i^2=-1$.
$=9+49$
Simplify.
$=58$
Hence, the given statement is false.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.7 - Complex Numbers - Exercise Set - Page 571: 138
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