Question

Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form a + bi.)

(1 − i )^2

Answer 1

(1-i)^2
(a-b)^2 =a^2-2ab+b^2
1^2-(2i)+i^2
1-2i-1 since i^2=-1
0-2i

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