Answer
$97$
Work Step by Step
Step 1: $(4+9i)(4-9i)$
Step 2: $4(4-9i)+9i(4-9i)$
Step 3: $16-36i+36i-81i^{2}$
Step 4: $16-81i^{2}$
Step 5: As $i^{2}=-1$, the expression becomes
$16-81i^{2}=16-81(-1)=16+81=97$.
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 1-9 - Cumulative Review - Page 764: 99
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