Coefficient

Using brute force , which is something you should NOT do (even though this time, I'm just lazy):

$11250x^6 + 12750(x^5)(y) - 1800(x^4)(y^2) - 4740(xy)^3$$- 1662(x^2)(y^4)-234(x)(y^5) - 12y^6$

$\text{The coefficient of} (x^2)(y^4) \text{​ is -1,662.}$

Hope this helped .