Evaluate
\left(x+1\right)\left(x+6\right)\left(x^{2}+3x+6\right)
Expand
x^{4}+10x^{3}+33x^{2}+60x+36
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x^{4}+10x^{3}+36x^{2}+60x+36-3x^{2}
Use the distributive property to multiply x^{2}+4x+6 by x^{2}+6x+6 and combine like terms.
x^{4}+10x^{3}+33x^{2}+60x+36
Combine 36x^{2} and -3x^{2} to get 33x^{2}.
x^{4}+10x^{3}+36x^{2}+60x+36-3x^{2}
Use the distributive property to multiply x^{2}+4x+6 by x^{2}+6x+6 and combine like terms.
x^{4}+10x^{3}+33x^{2}+60x+36
Combine 36x^{2} and -3x^{2} to get 33x^{2}.
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