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23 May, 13:11

What is the value of the expression given below

(8-3i) - (8-3i) (8+8i)

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Answers (1)
  1. 23 May, 13:55
    0
    At first let's multiply the second terms of the given expression. So,

    (8-3i) (8+8i) = 8*8 + 8*8i - 3i*8 - 3i*8i

    = 64 + 64i - 24i - 24i^2 (By multiplying)

    = 64 + 40i - 24 * (-1) (Adding the like terms and i^2=1)

    =64 + 40i + 24 (Since (-24) * (-1) = + 24)

    = 88+40i (Adding the like terms).

    Now the original equation is:

    (8-3i) - (8-3i) (8+8i) = (8-3i) - (88+40i)

    =8 - 3i - 88 - 40i

    = (8-88) - 3i - 40i (By grouping the like terms)

    =-80 - 43i (Combine the like terms).

    So, the value of the given expression is - 80 - 43i.
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