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8x^{3}+6x^{2}-2x-1-8x^{3}-12x^{2}-6x-1
To find the opposite of 8x^{3}+12x^{2}+6x+1, find the opposite of each term.
6x^{2}-2x-1-12x^{2}-6x-1
Combine 8x^{3} and -8x^{3} to get 0.
-6x^{2}-2x-1-6x-1
Combine 6x^{2} and -12x^{2} to get -6x^{2}.
-6x^{2}-8x-1-1
Combine -2x and -6x to get -8x.
-6x^{2}-8x-2
Subtract 1 from -1 to get -2.
8x^{3}+6x^{2}-2x-1-8x^{3}-12x^{2}-6x-1
To find the opposite of 8x^{3}+12x^{2}+6x+1, find the opposite of each term.
6x^{2}-2x-1-12x^{2}-6x-1
Combine 8x^{3} and -8x^{3} to get 0.
-6x^{2}-2x-1-6x-1
Combine 6x^{2} and -12x^{2} to get -6x^{2}.
-6x^{2}-8x-1-1
Combine -2x and -6x to get -8x.
-6x^{2}-8x-2
Subtract 1 from -1 to get -2.