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3x^{2}+6-x\left(x^{2}+2\right)
Use the distributive property to multiply 3 by x^{2}+2.
3x^{2}+6-\left(x^{3}+2x\right)
Use the distributive property to multiply x by x^{2}+2.
3x^{2}+6-x^{3}-2x
To find the opposite of x^{3}+2x, find the opposite of each term.
3x^{2}+6-x\left(x^{2}+2\right)
Use the distributive property to multiply 3 by x^{2}+2.
3x^{2}+6-\left(x^{3}+2x\right)
Use the distributive property to multiply x by x^{2}+2.
3x^{2}+6-x^{3}-2x
To find the opposite of x^{3}+2x, find the opposite of each term.