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: 50

Answer

$45-28i$

Work Step by Step

We multiply each term of the first complex number with the second complex number and simplify: $(7-2i)^{2}$ =$(7-2i)(7-2i)$ =$7(7-2i)-2i(7-2i)$ =$49-14i-14i+4i^{2}$ =$49-28i+4(-1)$ [We substitute -1 in place of $i^{2}$ as $i^{2}=-1$] =$49-4-28i$ =$45-28i$
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