Factor completely, the expression: 2x^3-2x^2-12x show work .

Extract a 2x from the expression to make it
2x(x^2-x-6).
Factor out x^2-x-6:>must factors must multiply to -6 and add to -1
-3 and 2 fit the criteria therefore
x^2-x-6 factors out to (x-3)(x+2).

But dont forget to put it all back together. The 2x is part of the expression so the full factored expression is:

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