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: $-3-4i$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.