Question

Some steps to rewrite the expression x^3-x+2x^2-2 as a product of three factors are shown below:

Answer 1

`x^3-x+2x^2-2=x(x^2-1)+2(x^2-1)=(x^2-1)(x+2)\\\\=(x^2-1^2)(x+2)=(x-1)(x+1)(x+2)\\\\\text{Used}\ a^2-b^2=(a-b)(a+b)`