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-\left(-x^{2}\right)-4x+3+2x^{2}-x-1+x^{2}-2x+4-2x
To find the opposite of -x^{2}+4x-3, find the opposite of each term.
-\left(-x^{2}\right)-5x+3+2x^{2}-1+x^{2}-2x+4-2x
Combine -4x and -x to get -5x.
-\left(-x^{2}\right)-5x+2+2x^{2}+x^{2}-2x+4-2x
Subtract 1 from 3 to get 2.
-\left(-x^{2}\right)-5x+2+3x^{2}-2x+4-2x
Combine 2x^{2} and x^{2} to get 3x^{2}.
-\left(-x^{2}\right)-7x+2+3x^{2}+4-2x
Combine -5x and -2x to get -7x.
-\left(-x^{2}\right)-7x+6+3x^{2}-2x
Add 2 and 4 to get 6.
-\left(-x^{2}\right)-9x+6+3x^{2}
Combine -7x and -2x to get -9x.
x^{2}-9x+6+3x^{2}
Multiply -1 and -1 to get 1.
4x^{2}-9x+6
Combine x^{2} and 3x^{2} to get 4x^{2}.
-\left(-x^{2}\right)-4x+3+2x^{2}-x-1+x^{2}-2x+4-2x
To find the opposite of -x^{2}+4x-3, find the opposite of each term.
-\left(-x^{2}\right)-5x+3+2x^{2}-1+x^{2}-2x+4-2x
Combine -4x and -x to get -5x.
-\left(-x^{2}\right)-5x+2+2x^{2}+x^{2}-2x+4-2x
Subtract 1 from 3 to get 2.
-\left(-x^{2}\right)-5x+2+3x^{2}-2x+4-2x
Combine 2x^{2} and x^{2} to get 3x^{2}.
-\left(-x^{2}\right)-7x+2+3x^{2}+4-2x
Combine -5x and -2x to get -7x.
-\left(-x^{2}\right)-7x+6+3x^{2}-2x
Add 2 and 4 to get 6.
-\left(-x^{2}\right)-9x+6+3x^{2}
Combine -7x and -2x to get -9x.
x^{2}-9x+6+3x^{2}
Multiply -1 and -1 to get 1.
4x^{2}-9x+6
Combine x^{2} and 3x^{2} to get 4x^{2}.