## Elementary Algebra

Published by Cengage Learning

# Chapter 11 - Additional Topics - Chapter 11 Review Problem Set - Page 520: 54

55-48i

#### Work Step by Step

We first use the FOIL method to simplify the expression. Then, knowing that $i=\sqrt{-1}$, we can substitute $-1$ for $i^{2}$ to obtain: $(-3-8i)(3+8i)$ =$-3(3+8i)-8i(3+8i)$ =$-9-24i-24i-64i^{2}$ =$-9-48i-64i^{2}$ =$-9-48i-64(-1)$ =$-9+64-48i$ =$55-48i$

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