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\left(4+4\right)^{2}+\left(-12-6\right)^{2}
The opposite of -4 is 4.
8^{2}+\left(-12-6\right)^{2}
Add 4 and 4 to get 8.
64+\left(-12-6\right)^{2}
Calculate 8 to the power of 2 and get 64.
64+\left(-18\right)^{2}
Subtract 6 from -12 to get -18.
64+324
Calculate -18 to the power of 2 and get 324.
388
Add 64 and 324 to get 388.