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

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07-06-2019
Mathematics

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

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jdoe0001 jdoe0001 · Answer 1 · 2019-06-07T23:53:10+02:00

jdoe0001 jdoe0001

07-06-2019

[tex]\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}[/tex]

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