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-x^{2}+2xy+8y^{2}-5x^{2}-3xy+7y^{2}
To find the opposite of 5x^{2}+3xy-7y^{2}, find the opposite of each term.
-x^{2}-xy+8y^{2}-5x^{2}+7y^{2}
Combine 2xy and -3xy to get -xy.
-x^{2}-xy+15y^{2}-5x^{2}
Combine 8y^{2} and 7y^{2} to get 15y^{2}.
-6x^{2}-xy+15y^{2}
Combine -x^{2} and -5x^{2} to get -6x^{2}.
-x^{2}+2xy+8y^{2}-5x^{2}-3xy+7y^{2}
To find the opposite of 5x^{2}+3xy-7y^{2}, find the opposite of each term.
-x^{2}-xy+8y^{2}-5x^{2}+7y^{2}
Combine 2xy and -3xy to get -xy.
-x^{2}-xy+15y^{2}-5x^{2}
Combine 8y^{2} and 7y^{2} to get 15y^{2}.
-6x^{2}-xy+15y^{2}
Combine -x^{2} and -5x^{2} to get -6x^{2}.