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\left(-5\right)^{2}+\left(-3\right)^{2}-2^{2}\left(-3\right)^{2}+\left(-2\right)^{2}
Subtract 2 from -3 to get -5.
25+\left(-3\right)^{2}-2^{2}\left(-3\right)^{2}+\left(-2\right)^{2}
Calculate -5 to the power of 2 and get 25.
25+9-2^{2}\left(-3\right)^{2}+\left(-2\right)^{2}
Calculate -3 to the power of 2 and get 9.
34-2^{2}\left(-3\right)^{2}+\left(-2\right)^{2}
Add 25 and 9 to get 34.
34-4\left(-3\right)^{2}+\left(-2\right)^{2}
Calculate 2 to the power of 2 and get 4.
34-4\times 9+\left(-2\right)^{2}
Calculate -3 to the power of 2 and get 9.
34-36+\left(-2\right)^{2}
Multiply 4 and 9 to get 36.
-2+\left(-2\right)^{2}
Subtract 36 from 34 to get -2.
-2+4
Calculate -2 to the power of 2 and get 4.
2
Add -2 and 4 to get 2.