Cubes Are King
Algebra
Level
3
\[\dfrac{{1}^3+{2}^3+\cdots+{2016}^3}{({1}+{2}+\cdots+{2016})({1}^2+{2}^2+\cdots+{2016}^2)}\]
If the value of above expression can be expressed in the form of \(\dfrac{a}{b},\) where \(a\) and \(b\) are coprime positive integers, find \(a+b\).
by
Rohit Udaiwal