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Math Help - Imaginary Numbers and the Binomial Theorem

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    Imaginary Numbers and the Binomial Theorem

    (2-3i)^6
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     (2-3i)^{6} = \left(\begin{array}{cc}6\\0\end{array}\right) 2^{6}(\text{-}3i)^{0}  + \left(\begin{array}{cc}6\\1\end{array}\right) 2^{5}(\text{-}3i)^{1}  + \left(\begin{array}{cc}6\\2\end{array}\right) 2^{4}(\text{-}3i)^{2}  + \left(\begin{array}{cc}6\\3\end{array}\right) 2^{3}(\text{-}3i)^{3}  + \left(\begin{array}{cc}6\\4\end{array}\right) 2^{2}(\text{-}3i)^{4}  + \left(\begin{array}{cc}6\\5\end{array}\right) 2^{1}(\text{-}3i)^{5}  + \left(\begin{array}{cc}6\\6\end{array}\right) 2^{0}(\text{-}3i)^{6}
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  3. #3
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     \sum_{x=0}^{6}\binom{6}{x} (2)^{6-x}(-3i)^x
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