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6-8x^{3}-x+3+2x^{3}+x^{2}-\left(4x^{2}+3-1\right)
To find the opposite of 8x^{3}+x-3, find the opposite of each term.
9-8x^{3}-x+2x^{3}+x^{2}-\left(4x^{2}+3-1\right)
Add 6 and 3 to get 9.
9-6x^{3}-x+x^{2}-\left(4x^{2}+3-1\right)
Combine -8x^{3} and 2x^{3} to get -6x^{3}.
9-6x^{3}-x+x^{2}-\left(4x^{2}+2\right)
Subtract 1 from 3 to get 2.
9-6x^{3}-x+x^{2}-4x^{2}-2
To find the opposite of 4x^{2}+2, find the opposite of each term.
9-6x^{3}-x-3x^{2}-2
Combine x^{2} and -4x^{2} to get -3x^{2}.
7-6x^{3}-x-3x^{2}
Subtract 2 from 9 to get 7.
6-8x^{3}-x+3+2x^{3}+x^{2}-\left(4x^{2}+3-1\right)
To find the opposite of 8x^{3}+x-3, find the opposite of each term.
9-8x^{3}-x+2x^{3}+x^{2}-\left(4x^{2}+3-1\right)
Add 6 and 3 to get 9.
9-6x^{3}-x+x^{2}-\left(4x^{2}+3-1\right)
Combine -8x^{3} and 2x^{3} to get -6x^{3}.
9-6x^{3}-x+x^{2}-\left(4x^{2}+2\right)
Subtract 1 from 3 to get 2.
9-6x^{3}-x+x^{2}-4x^{2}-2
To find the opposite of 4x^{2}+2, find the opposite of each term.
9-6x^{3}-x-3x^{2}-2
Combine x^{2} and -4x^{2} to get -3x^{2}.
7-6x^{3}-x-3x^{2}
Subtract 2 from 9 to get 7.