\(x^3+3x^2+3x+1=\left(x+1\right)^3\)
\(x^2+2x+1-\left(x^2-1\right)=x^2+2x+1-x^2+1=2x+2=2\left(x+1\right)\)
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\(x^3+3x^2+3x+1=\left(x+1\right)^3\)
\(x^2+2x+1-\left(x^2-1\right)=x^2+2x+1-x^2+1=2x+2=2\left(x+1\right)\)