Divide:Topic: Dividing a polynomial by a monomial: Multivariate Simplify your answer as much as possible.

Simplify the initial expression as shown below
[tex]\frac{5x{}^4u^2+8xu-6x^5u^4}{-2x^4u^2}=\frac{5x^4u^2}{-2x^4u^2}+\frac{8xu}{-2x^4u^2}+\frac{-6x^5u^4}{-2x^4u^2}[/tex][tex]=-\frac{5}{2}-\frac{4}{x^3u}+3xu^2[/tex]The answer is 3u^2*x-4/(u*x^3)-5/2