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-4a^{2}-2ab+9b^{2}-7a^{2}+3ab-5b^{2}
To find the opposite of 7a^{2}-3ab+5b^{2}, find the opposite of each term.
-11a^{2}-2ab+9b^{2}+3ab-5b^{2}
Combine -4a^{2} and -7a^{2} to get -11a^{2}.
-11a^{2}+ab+9b^{2}-5b^{2}
Combine -2ab and 3ab to get ab.
-11a^{2}+ab+4b^{2}
Combine 9b^{2} and -5b^{2} to get 4b^{2}.
-4a^{2}-2ab+9b^{2}-7a^{2}+3ab-5b^{2}
To find the opposite of 7a^{2}-3ab+5b^{2}, find the opposite of each term.
-11a^{2}-2ab+9b^{2}+3ab-5b^{2}
Combine -4a^{2} and -7a^{2} to get -11a^{2}.
-11a^{2}+ab+9b^{2}-5b^{2}
Combine -2ab and 3ab to get ab.
-11a^{2}+ab+4b^{2}
Combine 9b^{2} and -5b^{2} to get 4b^{2}.