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12-\left(8x+7x^{2}-2x^{3}-x^{4}\right)
Use the distributive property to multiply x+x^{2} by 8-x-x^{2} and combine like terms.
12-8x-7x^{2}+2x^{3}+x^{4}
To find the opposite of 8x+7x^{2}-2x^{3}-x^{4}, find the opposite of each term.
12-\left(8x+7x^{2}-2x^{3}-x^{4}\right)
Use the distributive property to multiply x+x^{2} by 8-x-x^{2} and combine like terms.
12-8x-7x^{2}+2x^{3}+x^{4}
To find the opposite of 8x+7x^{2}-2x^{3}-x^{4}, find the opposite of each term.