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3a^{2}-2ab+3b^{2}-2a^{2}+2ab+b^{2}
To find the opposite of 2a^{2}-2ab-b^{2}, find the opposite of each term.
a^{2}-2ab+3b^{2}+2ab+b^{2}
Combine 3a^{2} and -2a^{2} to get a^{2}.
a^{2}+3b^{2}+b^{2}
Combine -2ab and 2ab to get 0.
a^{2}+4b^{2}
Combine 3b^{2} and b^{2} to get 4b^{2}.
3a^{2}-2ab+3b^{2}-2a^{2}+2ab+b^{2}
To find the opposite of 2a^{2}-2ab-b^{2}, find the opposite of each term.
a^{2}-2ab+3b^{2}+2ab+b^{2}
Combine 3a^{2} and -2a^{2} to get a^{2}.
a^{2}+3b^{2}+b^{2}
Combine -2ab and 2ab to get 0.
a^{2}+4b^{2}
Combine 3b^{2} and b^{2} to get 4b^{2}.