Aspire Faculty ID #13940 · Topic: JAMIA MILLIA ISLAMIA MCA 2020 · Just now
JAMIA MILLIA ISLAMIA MCA 2020

Which of the following expresses the given complex number $(1 - i)^4$ in the form $(a + ib)$?

Solution

$(1 - i)^4 = (1 - i)^2 \times (1 - i)^2$ $= (1 - 2i + i^2)^2 = (1 - 2i - 1)^2 = (-2i)^2 = -4$

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