Telescoping Cubes

Calculus Level 3

\[\large \displaystyle \prod_{n=2}^{\infty} \dfrac {n^3-1}{n^3 + 1}\]

If the value of the above expression can be expressed as \( \dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

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