Samx3
Answered

What expression is equivalent to (3-2i)^2? (Can you show work)

A)13

B)13-12

C)9+4i

D)5-12i

Verified Answer :

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\((a-b)^2=a^2-2ab+b^2 \\ i^2=-1 \\ \\ (3-2i)^2=3^2-2 \times 3 \times 2i +(2i)^2=9-12i+4i^2=9-12i-4= \\ \boxed{5-12i} \Leftarrow \hbox{answer D}\)

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