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-x^{2}+2x+1-4x^{2}+2x-1
To find the opposite of 4x^{2}-2x+1, find the opposite of each term.
-x^{2}+4x+1-4x^{2}-1
Combine 2x and 2x to get 4x.
-x^{2}+4x-4x^{2}
Subtract 1 from 1 to get 0.
-5x^{2}+4x
Combine -x^{2} and -4x^{2} to get -5x^{2}.
-x^{2}+2x+1-4x^{2}+2x-1
To find the opposite of 4x^{2}-2x+1, find the opposite of each term.
-x^{2}+4x+1-4x^{2}-1
Combine 2x and 2x to get 4x.
-x^{2}+4x-4x^{2}
Subtract 1 from 1 to get 0.
-5x^{2}+4x
Combine -x^{2} and -4x^{2} to get -5x^{2}.