Cubic summation
Algebra
Level
4
\[\large \sum_{n=0}^{123456789} \dfrac{3n^2+9n+7}{(n^2+3n+2)^3} \]
Given that the summation above is equal to \(\dfrac AB\), where \(A\) and \(B\) are coprime positive integers, find \(B-A\).
by
Shreyash Rai