24pateldheer 24pateldheer

17-03-2019
Mathematics

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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

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sqdancefan sqdancefan

17-03-2019

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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