Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.8 The Complex Numbers - 10.8 Exercise Set - Page 686: 60



Work Step by Step

Using $(a+b)^2=a^2+2ab+b^2$, or the square of a binomial, the given expression, $ (1-2i)^2 ,$ simplifies to \begin{array}{l}\require{cancel} (1)^2+2(1)(-2i)+(-2i)^2 \\\\= 1-4i+4i^2 \\\\= 1-4i+4(-1) \\\\= 1-4i-4 \\\\= -3-4i .\end{array}
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