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