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