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30 June, 03:31

Using the properties of absolute values, simplify the expression x*|x|, if it is known that:

x greater or equal to zero

x is less than zero

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Answers (1)
  1. 30 June, 04:43
    0
    x ≥ 0: x|x| = x² x < 0: x|x| = - x²

    Step-by-step explanation:

    For x ≥ 0

    |x| = x

    so

    x|x| = x (x) = x²

    For x < 0

    |x| = - x

    so

    x|x| = x (-x) = - x²
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