Answer
$34$
Work Step by Step
RECALL:
(1) $(a+b)(a-b) = a^2-b^2$
(2) $i^2=-1$
Use rule (1) above with $a=-5$ and $b=3i$ to obtain:
$=(-5)^2 - (3i)^2
\\=25 - 9i^2$
Use rule (2) above to obtain:
$=25 - 9(-1)
\\=25-(-9)
\\=25+9
\\=34$
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 570: 47
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