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x^{3}+3x^{2}+3x+1+2\left(x+1\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+1\right)^{3}.
x^{3}+3x^{2}+3x+1+2x+2
Use the distributive property to multiply 2 by x+1.
x^{3}+3x^{2}+5x+1+2
Combine 3x and 2x to get 5x.
x^{3}+3x^{2}+5x+3
Add 1 and 2 to get 3.
x^{3}+3x^{2}+3x+1+2\left(x+1\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+1\right)^{3}.
x^{3}+3x^{2}+3x+1+2x+2
Use the distributive property to multiply 2 by x+1.
x^{3}+3x^{2}+5x+1+2
Combine 3x and 2x to get 5x.
x^{3}+3x^{2}+5x+3
Add 1 and 2 to get 3.