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-4x-3y+12x^{2}+3x+6y-2x^{2}
To find the opposite of -3x-6y+2x^{2}, find the opposite of each term.
-x-3y+12x^{2}+6y-2x^{2}
Combine -4x and 3x to get -x.
-x+3y+12x^{2}-2x^{2}
Combine -3y and 6y to get 3y.
-x+3y+10x^{2}
Combine 12x^{2} and -2x^{2} to get 10x^{2}.
-4x-3y+12x^{2}+3x+6y-2x^{2}
To find the opposite of -3x-6y+2x^{2}, find the opposite of each term.
-x-3y+12x^{2}+6y-2x^{2}
Combine -4x and 3x to get -x.
-x+3y+12x^{2}-2x^{2}
Combine -3y and 6y to get 3y.
-x+3y+10x^{2}
Combine 12x^{2} and -2x^{2} to get 10x^{2}.