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22 August, 05:08

Create an identity using imaginary numbers, and show that the identity is true.

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  1. 22 August, 06:37
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    See below.

    Step-by-step explanation:

    (3 - 2i) ^2 ≡ 5 - 12i

    Proof:

    (3 - 2i) ^2 = 3 (3 - 2i) - 2i (3 - 2i)

    = 9 - 6i - 6i + 4i^2

    = 9 - 12i + 4 (-1)

    = 9 - 12i - 4

    = 5 - 12i.
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