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: 48

Answer

$-52+72i$

Work Step by Step

We multiply each term of the first complex number with the second complex number and then simplify: $(-3-7i)(-6-10i)$ =$-3(-6-10i)-7i(-6-10i)$ =$18+30i+42i+70i^{2}$ =$18+72i+70(-1)$ [We substitute -1 in place of $i^{2}$ as $i^{2}=-1$] =$18-70+72i$ =$-52+72i$
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