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-5x^{3}+11x^{2}-6x-2+6x^{3}-x^{2}-9x+1
To find the opposite of -6x^{3}+x^{2}+9x-1, find the opposite of each term.
x^{3}+11x^{2}-6x-2-x^{2}-9x+1
Combine -5x^{3} and 6x^{3} to get x^{3}.
x^{3}+10x^{2}-6x-2-9x+1
Combine 11x^{2} and -x^{2} to get 10x^{2}.
x^{3}+10x^{2}-15x-2+1
Combine -6x and -9x to get -15x.
x^{3}+10x^{2}-15x-1
Add -2 and 1 to get -1.
-5x^{3}+11x^{2}-6x-2+6x^{3}-x^{2}-9x+1
To find the opposite of -6x^{3}+x^{2}+9x-1, find the opposite of each term.
x^{3}+11x^{2}-6x-2-x^{2}-9x+1
Combine -5x^{3} and 6x^{3} to get x^{3}.
x^{3}+10x^{2}-6x-2-9x+1
Combine 11x^{2} and -x^{2} to get 10x^{2}.
x^{3}+10x^{2}-15x-2+1
Combine -6x and -9x to get -15x.
x^{3}+10x^{2}-15x-1
Add -2 and 1 to get -1.