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3x-\left(-x^{2}\right)-5x+2-\left(3x^{2}-4x+7\right)
To find the opposite of -x^{2}+5x-2, find the opposite of each term.
-2x-\left(-x^{2}\right)+2-\left(3x^{2}-4x+7\right)
Combine 3x and -5x to get -2x.
-2x-\left(-x^{2}\right)+2-3x^{2}+4x-7
To find the opposite of 3x^{2}-4x+7, find the opposite of each term.
2x-\left(-x^{2}\right)+2-3x^{2}-7
Combine -2x and 4x to get 2x.
2x-\left(-x^{2}\right)-5-3x^{2}
Subtract 7 from 2 to get -5.
2x+x^{2}-5-3x^{2}
Multiply -1 and -1 to get 1.
2x-2x^{2}-5
Combine x^{2} and -3x^{2} to get -2x^{2}.
3x-\left(-x^{2}\right)-5x+2-\left(3x^{2}-4x+7\right)
To find the opposite of -x^{2}+5x-2, find the opposite of each term.
-2x-\left(-x^{2}\right)+2-\left(3x^{2}-4x+7\right)
Combine 3x and -5x to get -2x.
-2x-\left(-x^{2}\right)+2-3x^{2}+4x-7
To find the opposite of 3x^{2}-4x+7, find the opposite of each term.
2x-\left(-x^{2}\right)+2-3x^{2}-7
Combine -2x and 4x to get 2x.
2x-\left(-x^{2}\right)-5-3x^{2}
Subtract 7 from 2 to get -5.
2x+x^{2}-5-3x^{2}
Multiply -1 and -1 to get 1.
2x-2x^{2}-5
Combine x^{2} and -3x^{2} to get -2x^{2}.