Can you spot the trick?

Calculus Level 4

R=x=1x59xx83x6+27x281\large\mathfrak R=\displaystyle\sum_{x=1}^{\infty}\dfrac{x^5-9x}{x^8-3x^6+27x^2-81}

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

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