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4-6xy+9x^{2}-y^{2}-2y^{2}+6xy+6
To find the opposite of 2y^{2}-6xy-6, find the opposite of each term.
4-6xy+9x^{2}-3y^{2}+6xy+6
Combine -y^{2} and -2y^{2} to get -3y^{2}.
4+9x^{2}-3y^{2}+6
Combine -6xy and 6xy to get 0.
10+9x^{2}-3y^{2}
Add 4 and 6 to get 10.
4-6xy+9x^{2}-y^{2}-2y^{2}+6xy+6
To find the opposite of 2y^{2}-6xy-6, find the opposite of each term.
4-6xy+9x^{2}-3y^{2}+6xy+6
Combine -y^{2} and -2y^{2} to get -3y^{2}.
4+9x^{2}-3y^{2}+6
Combine -6xy and 6xy to get 0.
10+9x^{2}-3y^{2}
Add 4 and 6 to get 10.