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: 46

Answer

$-11-5i$

Work Step by Step

We multiply each term of the first complex number with the second complex number and then simplify: $(-3-8i)(1-i)$ =$-3(1-i)-8i(1-i)$ =$-3+3i-8i+8i^{2}$ =$-3-5i+8(-1)$ [We substitute -1 in place of $i^{2}$ as $i^{2}=-1$] =$-3-8-5i$ =$-11-5i$
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