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4x^{3}-2x^{2}+5x-4-2x^{3}-4x^{2}-x+1
To find the opposite of 2x^{3}+4x^{2}+x-1, find the opposite of each term.
2x^{3}-2x^{2}+5x-4-4x^{2}-x+1
Combine 4x^{3} and -2x^{3} to get 2x^{3}.
2x^{3}-6x^{2}+5x-4-x+1
Combine -2x^{2} and -4x^{2} to get -6x^{2}.
2x^{3}-6x^{2}+4x-4+1
Combine 5x and -x to get 4x.
2x^{3}-6x^{2}+4x-3
Add -4 and 1 to get -3.
4x^{3}-2x^{2}+5x-4-2x^{3}-4x^{2}-x+1
To find the opposite of 2x^{3}+4x^{2}+x-1, find the opposite of each term.
2x^{3}-2x^{2}+5x-4-4x^{2}-x+1
Combine 4x^{3} and -2x^{3} to get 2x^{3}.
2x^{3}-6x^{2}+5x-4-x+1
Combine -2x^{2} and -4x^{2} to get -6x^{2}.
2x^{3}-6x^{2}+4x-4+1
Combine 5x and -x to get 4x.
2x^{3}-6x^{2}+4x-3
Add -4 and 1 to get -3.