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6a^{2}-7ab+2b^{2}-3a^{2}-b^{2}
To find the opposite of 3a^{2}+b^{2}, find the opposite of each term.
3a^{2}-7ab+2b^{2}-b^{2}
Combine 6a^{2} and -3a^{2} to get 3a^{2}.
3a^{2}-7ab+b^{2}
Combine 2b^{2} and -b^{2} to get b^{2}.
6a^{2}-7ab+2b^{2}-3a^{2}-b^{2}
To find the opposite of 3a^{2}+b^{2}, find the opposite of each term.
3a^{2}-7ab+2b^{2}-b^{2}
Combine 6a^{2} and -3a^{2} to get 3a^{2}.
3a^{2}-7ab+b^{2}
Combine 2b^{2} and -b^{2} to get b^{2}.