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|-2|-1^{2}
Subtract 1 from -1 to get -2.
2-1^{2}
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.
2-1
Calculate 1 to the power of 2 and get 1.
1
Subtract 1 from 2 to get 1.