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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

Respuesta :

sqdancefan

Answer:

  • 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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