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2x^{3}-5x^{2}-6x+8-x^{3}+5x^{2}-1
To find the opposite of x^{3}-5x^{2}+1, find the opposite of each term.
x^{3}-5x^{2}-6x+8+5x^{2}-1
Combine 2x^{3} and -x^{3} to get x^{3}.
x^{3}-6x+8-1
Combine -5x^{2} and 5x^{2} to get 0.
x^{3}-6x+7
Subtract 1 from 8 to get 7.
2x^{3}-5x^{2}-6x+8-x^{3}+5x^{2}-1
To find the opposite of x^{3}-5x^{2}+1, find the opposite of each term.
x^{3}-5x^{2}-6x+8+5x^{2}-1
Combine 2x^{3} and -x^{3} to get x^{3}.
x^{3}-6x+8-1
Combine -5x^{2} and 5x^{2} to get 0.
x^{3}-6x+7
Subtract 1 from 8 to get 7.