Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.4 - Complex Numbers - Problem Set 11.4 - Page 493: 40

Answer

$-40-35i$

Work Step by Step

We start with the given expression: $-5i(7-8i)$ We use the distributive property to multiply: $7(-5i)+(-8i)(-5i)$ We multiply the real and imaginary terms: $-35i+40i^2$ Since $i^2$ is equal to $-1$, we simplify the expression as follows: $40(-1)-35i=-40-35i$
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