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

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

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