Express the complex numbers (1 - i)^4 in the form of a + ib. - Vidyadip

Question

Express the complex numbers$ (1 - i)^4$ in the form of $a + ib.$

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Answer

$(1 - i)^4 = [(1 - i)^2]^2$
$= (1 + i^2 - 2i)^2$
$= (1 - 1 - 2i)^2 = (-2i)^2$
$ = 4{i^2} = 4 \times - 1 = - 4$

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