Express (1-2i) second power in the form a+bi

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Express (1-2i) second power in the form a+bi

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Arianna 4 days 2021-10-13T22:21:04+00:00 1 Answer 0

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    2021-10-13T22:22:11+00:00

    \bf (1-2i)^2\implies (1-2i)(1-2i)\implies 1-2i-2i+(2i)^2 \\\\\\ 1-4i+(2^2i^2)\implies \stackrel{\textit{recall }i^2=-1}{1-4i+(4\cdot -1)}\implies 1-4i-4\implies \boxed{-3-4i}

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