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21 August, 16:29

If u = (3+2i) and v = (3-2i) what is uv?

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Answers (2)
  1. 21 August, 18:12
    0
    13.

    Step-by-step explanation:

    uv = (3 + 2i) (3 - 2i)

    = 9 - 6i + 6i - 4i^2 Note that i^2 = - 1 so we have

    9 - 4 * - 1

    = 13.
  2. 21 August, 18:28
    0
    13

    Step-by-step explanation:

    u = (3+2i) v = (3-2i)

    uv = (3+2i) (3-2i)

    FOIL

    first: 3*3 = 9

    outer: - 2i*3 = - 6i

    inner: 2i*3 = 6i

    last = 2i*-2i = - 4i^2 = -4 (-1) = 4

    Add together

    9-6i+6i + 4 = 13
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