Find the coefficient of $u^2 v^9$ in the expansion of $(2u - 3v^3 + v^2 - 5u^2 + 1)^5.$
We can apply the binomial formula here; it would be row 5 of the pascal's triangle.
I would write the expansion, and I did, but I deleted it accidently. :(
You would get 1920 as your answer.