Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1-9 - Cumulative Review: 99

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 $16-81i^{2}=16-81(-1)=16+81=97$.
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