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-\left(x^{3}+36x^{2}+432x+1728\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+12\right)^{3}.
-x^{3}-36x^{2}-432x-1728
To find the opposite of x^{3}+36x^{2}+432x+1728, find the opposite of each term.
-\left(x^{3}+36x^{2}+432x+1728\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+12\right)^{3}.
-x^{3}-36x^{2}-432x-1728
To find the opposite of x^{3}+36x^{2}+432x+1728, find the opposite of each term.