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3x^{2}-2x+1-\left(-x^{2}\right)-x-3
To find the opposite of -x^{2}+x+3, find the opposite of each term.
3x^{2}-3x+1-\left(-x^{2}\right)-3
Combine -2x and -x to get -3x.
3x^{2}-3x-2-\left(-x^{2}\right)
Subtract 3 from 1 to get -2.
3x^{2}-3x-2+x^{2}
Multiply -1 and -1 to get 1.
4x^{2}-3x-2
Combine 3x^{2} and x^{2} to get 4x^{2}.
3x^{2}-2x+1-\left(-x^{2}\right)-x-3
To find the opposite of -x^{2}+x+3, find the opposite of each term.
3x^{2}-3x+1-\left(-x^{2}\right)-3
Combine -2x and -x to get -3x.
3x^{2}-3x-2-\left(-x^{2}\right)
Subtract 3 from 1 to get -2.
3x^{2}-3x-2+x^{2}
Multiply -1 and -1 to get 1.
4x^{2}-3x-2
Combine 3x^{2} and x^{2} to get 4x^{2}.