## Elementary Algebra

Published by Cengage Learning

# Chapter 11 - Additional Topics - 11.4 - Complex Numbers - Problem Set 11.4: 39

#### Answer

$-24+20i$

#### Work Step by Step

We start with the given expression: $-4i(-5-6i)$ We use the distributive property to multiply: $-4(-5i)+(-6i)(-4i)$ We multiply the real and imaginary terms: $20i+24i^2$ Since $i^2$ is equal to $-1$, we simplify the expression as follows: $24(-1)+20i=-24+20i$

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