Using the properties of absolute values, simplify the expression x×|x|, if it is known that:
1 answer:
Answer:
- x ≥ 0: x|x| = x²
- x < 0: x|x| = -x²
Step-by-step explanation:
<u>For x ≥ 0</u>
|x| = x
so
x|x| = x(x) = x²
<u>For x < 0</u>
|x| = -x
so
x|x| = x(-x) = -x²
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