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-3a^{2}+4ab+a^{2}-2\left(a+2ab\right)
To find the opposite of 3a^{2}-4ab, find the opposite of each term.
-2a^{2}+4ab-2\left(a+2ab\right)
Combine -3a^{2} and a^{2} to get -2a^{2}.
-2a^{2}+4ab-2a-4ab
Use the distributive property to multiply -2 by 1a+2ab.
-2a^{2}-2a
Combine 4ab and -4ab to get 0.
-3a^{2}+4ab+a^{2}-2\left(a+2ab\right)
To find the opposite of 3a^{2}-4ab, find the opposite of each term.
-2a^{2}+4ab-2\left(a+2ab\right)
Combine -3a^{2} and a^{2} to get -2a^{2}.
-2a^{2}+4ab-2a-4ab
Use the distributive property to multiply -2 by 1a+2ab.
-2a^{2}-2a
Combine 4ab and -4ab to get 0.