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4x^{3}+6x^{2}-9x+1-\left(3x^{3}+2x^{4}\right)
Combine 8x^{3} and -5x^{3} to get 3x^{3}.
4x^{3}+6x^{2}-9x+1-3x^{3}-2x^{4}
To find the opposite of 3x^{3}+2x^{4}, find the opposite of each term.
x^{3}+6x^{2}-9x+1-2x^{4}
Combine 4x^{3} and -3x^{3} to get x^{3}.
4x^{3}+6x^{2}-9x+1-\left(3x^{3}+2x^{4}\right)
Combine 8x^{3} and -5x^{3} to get 3x^{3}.
4x^{3}+6x^{2}-9x+1-3x^{3}-2x^{4}
To find the opposite of 3x^{3}+2x^{4}, find the opposite of each term.
x^{3}+6x^{2}-9x+1-2x^{4}
Combine 4x^{3} and -3x^{3} to get x^{3}.