Question

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

Answer 1

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