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x^{3}-x^{2}+6-5x^{2}+4x-6
To find the opposite of 5x^{2}-4x+6, find the opposite of each term.
x^{3}-6x^{2}+6+4x-6
Combine -x^{2} and -5x^{2} to get -6x^{2}.
x^{3}-6x^{2}+4x
Subtract 6 from 6 to get 0.
x^{3}-x^{2}+6-5x^{2}+4x-6
To find the opposite of 5x^{2}-4x+6, find the opposite of each term.
x^{3}-6x^{2}+6+4x-6
Combine -x^{2} and -5x^{2} to get -6x^{2}.
x^{3}-6x^{2}+4x
Subtract 6 from 6 to get 0.