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2x^{3}-4x^{2}+4x+9-8x^{2}+9x-3
To find the opposite of 8x^{2}-9x+3, find the opposite of each term.
2x^{3}-12x^{2}+4x+9+9x-3
Combine -4x^{2} and -8x^{2} to get -12x^{2}.
2x^{3}-12x^{2}+13x+9-3
Combine 4x and 9x to get 13x.
2x^{3}-12x^{2}+13x+6
Subtract 3 from 9 to get 6.
2x^{3}-4x^{2}+4x+9-8x^{2}+9x-3
To find the opposite of 8x^{2}-9x+3, find the opposite of each term.
2x^{3}-12x^{2}+4x+9+9x-3
Combine -4x^{2} and -8x^{2} to get -12x^{2}.
2x^{3}-12x^{2}+13x+9-3
Combine 4x and 9x to get 13x.
2x^{3}-12x^{2}+13x+6
Subtract 3 from 9 to get 6.