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x^{3}+2x^{2}+2x+1+\left(x^{2}-x+1\right)\left(x+1\right)
Use the distributive property to multiply x^{2}+x+1 by x+1 and combine like terms.
x^{3}+2x^{2}+2x+1+x^{3}+1
Use the distributive property to multiply x^{2}-x+1 by x+1 and combine like terms.
2x^{3}+2x^{2}+2x+1+1
Combine x^{3} and x^{3} to get 2x^{3}.
2x^{3}+2x^{2}+2x+2
Add 1 and 1 to get 2.
x^{3}+2x^{2}+2x+1+\left(x^{2}-x+1\right)\left(x+1\right)
Use the distributive property to multiply x^{2}+x+1 by x+1 and combine like terms.
x^{3}+2x^{2}+2x+1+x^{3}+1
Use the distributive property to multiply x^{2}-x+1 by x+1 and combine like terms.
2x^{3}+2x^{2}+2x+1+1
Combine x^{3} and x^{3} to get 2x^{3}.
2x^{3}+2x^{2}+2x+2
Add 1 and 1 to get 2.