Intermediate Algebra (6th Edition)

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

Chapter 7 - Review - Page 470: 137

Answer

$-5-12i$

Work Step by Step

Using $(a+b)^2=a^2+2ab+b^2$ , the expression $ (2-3i)^2 $ simplifies to \begin{array}{l} (2)^2+2(2)(-3i)+(-3i)^2 \\= 4-12i+9i^2 \\= 4-12i+9(-1) \\= -5-12i .\end{array}
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