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