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\left(-4+5\right)^{2}+\left(-3-1\right)^{2}
The opposite of -5 is 5.
1^{2}+\left(-3-1\right)^{2}
Add -4 and 5 to get 1.
1+\left(-3-1\right)^{2}
Calculate 1 to the power of 2 and get 1.
1+\left(-4\right)^{2}
Subtract 1 from -3 to get -4.
1+16
Calculate -4 to the power of 2 and get 16.
17
Add 1 and 16 to get 17.