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If Q = 11 - 5i, E = 3 - 2i, and D = 2i, find QED.

 May 9, 2021
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\(QED = (11-5i)(3-2i)(2i)\)

We can split this up into two parts. Let's first compute \((11-5i)(3-2i)\), and then multiply it again by \(2i\).

\((11-5i)(3-2i) = 11(3-2i)-5i(3-2i) = 33-22i-15i+10i^2 = 33-37i-10 = 23-37i.\)

\(2i\cdot(23-37i) = 46i-74i^2 = \boxed{74+46i}\)

 May 9, 2021

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