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18 June, 05:24

The square of any complex number is

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Answers (2)
  1. 18 June, 06:47
    0
    raised to the second power: ^2
  2. 18 June, 09:14
    0
    a^2 - b^2 + 2abi

    Step-by-step explanation:

    Let a = a + bi

    Then, z^2 = (a + bi) ^2

    = a^2 + 2abi + (bi) ^2

    = a^2 + 2abi + (b^2) (i^2)

    Since i^2 = - 1,

    z^2 = a^2 + 2abi - b^2

    z^2 = a^2 - b^2 + 2abi
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