Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.7 - Complex Numbers - Practice: 14

Answer

$-3-4i$

Work Step by Step

Step 1: $(1-2i)^{2}$ Step 2: $(1-2i)(1-2i)$ Step 3: $1(1)+1(-2i)-2i(1)-2i(-2i)$ Step 4: $1-2i-2i+4i^{2}$ Step 5: $1-4i+4i^{2}$ Step 6: Since $i^{2}=-1$, $1-4i+4(-1)$. Step 7: $1-4-4i$ Step 8: $-3-4i$
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