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15 May, 11:24

Find the quotient of ' (2i (4+5i) (4-5i)) / (4+i) ', and express it in the simplest form.

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  1. 15 May, 11:27
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    (328i + 82) / 17

    Step-by-step explanation:

    ' (2i (4+5i) (4-5i)) / (4+i)

    = (2i (16 - 25i^2)) / (4 + i)

    = (2i (16 + 25))) / (4 + 1) [Note: - i^2 = - 1]

    = 82i / (4 + i)

    = 82i (4 - i) / (4 + i) (4 - 1)

    = 328i + 82 / (16 - i^2)

    = (328i + 82) / 17
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