12-04-2015
Mathematics

Answered

What expression is equivalent to (3-2i)^2? (Can you show work)
A)13
B)13-12
C)9+4i
D)5-12i

Answer :

13-04-2015

[tex](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}[/tex]

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