If ex=1+x+x22+x36+…e^x = 1 + x + \frac{x^2}{2} + \frac{x^3}{6} + \ldotsex=1+x+2x2+6x3+…, what is the coefficient of x2x^2x2 in ex(1−x)e^x(1-x)ex(1−x)?
12\frac{1}{2}21
−12-\frac{1}{2}−21
32\frac{3}{2}23
111