Question

x(x - 1)(x + 1)(x - 2) - 3

Answer 1

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

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

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

Answer 2

\(=x\left(x^2-1\right)\left(x-2\right)-3\\ =\left(x^3-x\right)\left(x-2\right)-3\\ =x^4-x^2-2x^3+2x-3\\ =x^4-2x^3-x^2+2x-3\)