Prove that: $(\sum_{i=1}^n i)^2$ = $\sum_{i=1}^n i^3$
I can use the fact that $\sum_{i=1}^n i$ = n(n+1)/2 after the inductive hypothesis is invoked. I'm not sure where to start, I would usually break down one side but there isn't usually two sums, so I'm not sure.