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12-02-2016
Mathematics

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What is the simplest form of (-3+2i)(1-4i)?

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12-02-2016

[tex] (-3+2i)(1-4i) \ / \ -3 + 12i + 2i + 8 \ / \ expand \\ \\ (-3 + 8) + (12i + 2i) \ / \ gather \ the \ like \ terms \\ \\ 5 + 14i \ / \ simplify \\ \\ [/tex]

The final result is 5 + 14i.

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