Express the complex numbers in the form of a + ib:

$(1 - i)^{4}$

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Solution

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

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