(X-1)(2xto the third+2xsquared+2)
$$(x-1)(2x^3+2x^2+2)\\\\ =x(2x^3+2x^2+2)-1(2x^3+2x^2+2)\\\\ =2x^4+2x^3+2x-2x^3-2x^2-2\\\\ =2x^4-2x^2+2x-2$$