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-3x^{3}-7x^{2}+8x-4-8x^{3}-5x^{2}-2x-2
To find the opposite of 8x^{3}+5x^{2}+2x+2, find the opposite of each term.
-11x^{3}-7x^{2}+8x-4-5x^{2}-2x-2
Combine -3x^{3} and -8x^{3} to get -11x^{3}.
-11x^{3}-12x^{2}+8x-4-2x-2
Combine -7x^{2} and -5x^{2} to get -12x^{2}.
-11x^{3}-12x^{2}+6x-4-2
Combine 8x and -2x to get 6x.
-11x^{3}-12x^{2}+6x-6
Subtract 2 from -4 to get -6.
-3x^{3}-7x^{2}+8x-4-8x^{3}-5x^{2}-2x-2
To find the opposite of 8x^{3}+5x^{2}+2x+2, find the opposite of each term.
-11x^{3}-7x^{2}+8x-4-5x^{2}-2x-2
Combine -3x^{3} and -8x^{3} to get -11x^{3}.
-11x^{3}-12x^{2}+8x-4-2x-2
Combine -7x^{2} and -5x^{2} to get -12x^{2}.
-11x^{3}-12x^{2}+6x-4-2
Combine 8x and -2x to get 6x.
-11x^{3}-12x^{2}+6x-6
Subtract 2 from -4 to get -6.