Determine the coefficient of

w x^3 y^2 z^2 in (2w−x+y−2z)^8.

Thanks.

(2w+a)^8 = ... + 16wa^7 + ...

(-x+b)^7 = ... - 35x^3b^4
(y-2z)^4 = ... + 24y^2z^2

So, I get -13440wx^3y^2z^2