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\left(-x-6\right)\left(x+4\right)^{2}
To find the opposite of x+6, find the opposite of each term.
\left(-x-6\right)\left(x^{2}+8x+16\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
-x^{3}-14x^{2}-64x-96
Use the distributive property to multiply -x-6 by x^{2}+8x+16 and combine like terms.
\left(-x-6\right)\left(x+4\right)^{2}
To find the opposite of x+6, find the opposite of each term.
\left(-x-6\right)\left(x^{2}+8x+16\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
-x^{3}-14x^{2}-64x-96
Use the distributive property to multiply -x-6 by x^{2}+8x+16 and combine like terms.