An algebra problem by Darel Gunawan

Algebra Level 4

Given that : \[\frac{1}{2^3-2} +\frac{1}{3^3-3}+\frac{1}{4^3-4}+ \cdots +\frac{1}{100^3-100} = \frac{a}{b}\]

where \(a\) and \(b\) are coprime positive integers. What is the value of \(a+b \)?

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