Question

Factorize
(p-q)³ + (q-r)³ + (r-p)³

Answer 1

If a+b+c =0 then a3+b3+c3 = 3abc
in this question let a= (p-q) ,b= (q-r) , c= (r-p) then a+b+c = p - q + q- r + r- p = 0 so
(p-q)3 + ( q-r)3+ (r-p)3 = 3 (p-q)(q-r)(r-p)

This is the shortest way to do these type of questions