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x^{4}+2x+2x^{2}-3-\left(3x^{4}+2x^{2}-x+1\right)
Combine -3x and 5x to get 2x.
x^{4}+2x+2x^{2}-3-3x^{4}-2x^{2}+x-1
To find the opposite of 3x^{4}+2x^{2}-x+1, find the opposite of each term.
-2x^{4}+2x+2x^{2}-3-2x^{2}+x-1
Combine x^{4} and -3x^{4} to get -2x^{4}.
-2x^{4}+2x-3+x-1
Combine 2x^{2} and -2x^{2} to get 0.
-2x^{4}+3x-3-1
Combine 2x and x to get 3x.
-2x^{4}+3x-4
Subtract 1 from -3 to get -4.
x^{4}+2x+2x^{2}-3-\left(3x^{4}+2x^{2}-x+1\right)
Combine -3x and 5x to get 2x.
x^{4}+2x+2x^{2}-3-3x^{4}-2x^{2}+x-1
To find the opposite of 3x^{4}+2x^{2}-x+1, find the opposite of each term.
-2x^{4}+2x+2x^{2}-3-2x^{2}+x-1
Combine x^{4} and -3x^{4} to get -2x^{4}.
-2x^{4}+2x-3+x-1
Combine 2x^{2} and -2x^{2} to get 0.
-2x^{4}+3x-3-1
Combine 2x and x to get 3x.
-2x^{4}+3x-4
Subtract 1 from -3 to get -4.