Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Test - Page 471: 28

Answer

$40$

Work Step by Step

Using $(a+b)(a-b)=a^2-b^2$ and $i^2=-1$, the given expression, $ (6-2i)(6+2i) ,$ simplifies to \begin{array}{l}\require{cancel} (6)^2-(2i)^2 \\\\= 36-4i^2 \\\\= 36-4(-1) \\\\= 36+4 \\\\= 40 .\end{array}
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