# Can you spot the trick?

Calculus Level 4

$\large\mathfrak R=\displaystyle\sum_{x=1}^{\infty}\dfrac{x^5-9x}{x^8-3x^6+27x^2-81}$

If $$\mathfrak R$$ can be written in the form $$\dfrac pq$$, where $$p$$ and $$q$$ are coprime positive integers, find $$|p-q|$$.

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