Mathematical Induction Question
Hello, I have this problem that I can't figure out. I don't think I have too much issue with a simple version of maths induction but this particular question I can't seem to figure out.
The question is:
Use mathematical induction to prove that for every positive integer
3 + 2^3 + 3^3 + . . . + n^3 = ((n (n + 1))/2)^2
I can only get to this stage:
((n(n + 1))/2)^2 + (n + 1)^3 = (((n + 1)((n + 1) + 1))/2)^2
I would greatly appreciate it if some wiz could help me out.