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2a^{2}-11a-1
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2a^{2}-11a-1
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-a^{2}-2a+3\left(a^{2}-3a-\frac{1}{3}\right)
To find the opposite of a^{2}+2a, find the opposite of each term.
-a^{2}-2a+3a^{2}-9a-1
Use the distributive property to multiply 3 by a^{2}-3a-\frac{1}{3}.
2a^{2}-2a-9a-1
Combine -a^{2} and 3a^{2} to get 2a^{2}.
2a^{2}-11a-1
Combine -2a and -9a to get -11a.
-a^{2}-2a+3\left(a^{2}-3a-\frac{1}{3}\right)
To find the opposite of a^{2}+2a, find the opposite of each term.
-a^{2}-2a+3a^{2}-9a-1
Use the distributive property to multiply 3 by a^{2}-3a-\frac{1}{3}.
2a^{2}-2a-9a-1
Combine -a^{2} and 3a^{2} to get 2a^{2}.
2a^{2}-11a-1
Combine -2a and -9a to get -11a.
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