Find the Telescopic Sum of :-
$$\sum_{n=1}^{50} \frac{n}{n + n^2 + n^4} \\$$
What I tried :- The denominator easily gets factorised to $n(1 + n + n^3)$ and the $n$ cancels out, leaving $\frac{1}{1 + n + n^3}$ , but from here I cannot factorise $1 + n + n^3$ , also I tried using partial fractions but without success . I have no idea how to do this.
Any explanations or hints to this problem will be appreciated !!