SOLUTION: (a) Find (1-i)^2, and show that (1-i)^3=-2-2i

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Question 792208: (a) Find (1-i)^2, and show that (1-i)^3=-2-2i
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(a) Find (1-i)^2
Multiply (1-i)*(1-i)
= 1(1-i) -i*(1-i)
= 1-i -i + i^2
= 1 - 2i - 1
= -2i
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and show that (1-i)^3=-2-2i
do it the same way.