I'm trying to solve given factorial expression
$$\dfrac{(2n-1)!}{(3n-4)!} + \dfrac{(n+2)!}{(8-4n)!}$$
I noticed that there's $n!$ in common. Let me try to rewrite them.
$$\dfrac{n!\biggr [(2n-1)\cdot 1\biggr ]}{n!\biggr [(3n-4)(3n-3)(3n-2)(3n-1)\biggr ]}$$
However, I believe that my assumption is wrong so far.