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23 October, 21:59

Show the steps to simplify (-1+isqrt3)) ^3

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  1. 23 October, 22:20
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    Step-by-step explanation:

    (-1 + i√3) ³

    Use binomial expansion:

    (-1) ³ + 3 (-1) ² (i√3) + 3 (-1) (i√3) ² + (i√3) ³

    Simplify:

    -1 + 3i√3 - 3 (i√3) ² + (i√3) ³

    -1 + 3i√3 - 3 (-3) + (-3i√3)

    -1 + 3i√3 + 9 - 3i√3

    8
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