#### 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: $-3-4i$

Published by
Pearson

ISBN 10:
0321726391

ISBN 13:
978-0-32172-639-1

$-3-4i$

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