Answer
True.
Work Step by Step
$(x+yi)(x-yi)=x^2-xyi+xyi-y^2i^2=x^2+y^2$. Thus the statement is true.
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 572: 140
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