Finding the Coefficient of x^2*y^3*z in a Polynomial Expansion

[yaho8888]

What is the coeffcient of x^2*y^3*z in the polynomial(2x-y^2+3z)^6?
please give me an example, and how do i deal with coeffienct that is inside the function 2, -1, and 3.

 

[daveyinaz]

You could always do it the long way...and multiply it all out and see what the coefficient is...but I imagine you're asking is there an easier way right?

 

[kamerling]

The coefficient x^2*y^3*z is really easy. Are you sure you didn't mean x^2*y^6*z ?