a3−b3−c3a2==3abc2(b+c)
Find the triplets (a,b,c)∈Z+ that satisfy the system of equations above.
Details and assumptions:
- Input the sum of all possible numbers in the triplets as an answer. As an explicit example, if (1,2,3) is the only triplet, input 6 but if (2,3,4) is also an answer input 15.