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5x^{3}+2x+9-\left(2x^{4}+7x^{4}-2\right)
Combine x^{3} and 4x^{3} to get 5x^{3}.
5x^{3}+2x+9-\left(9x^{4}-2\right)
Combine 2x^{4} and 7x^{4} to get 9x^{4}.
5x^{3}+2x+9-9x^{4}+2
To find the opposite of 9x^{4}-2, find the opposite of each term.
5x^{3}+2x+11-9x^{4}
Add 9 and 2 to get 11.
5x^{3}+2x+9-\left(2x^{4}+7x^{4}-2\right)
Combine x^{3} and 4x^{3} to get 5x^{3}.
5x^{3}+2x+9-\left(9x^{4}-2\right)
Combine 2x^{4} and 7x^{4} to get 9x^{4}.
5x^{3}+2x+9-9x^{4}+2
To find the opposite of 9x^{4}-2, find the opposite of each term.
5x^{3}+2x+11-9x^{4}
Add 9 and 2 to get 11.