Question

factorise: (p-q)³+(q-r)³+(r-p)³

Answer 1

Hlo friend..

Please see the attached picture..

HOPE IT HELPS YOU..

REGARDS
@sunita

Answer 2

If x+y+z=0
then,
x^3+y^3+z^3=3xyz.......(1)
Now according to the question,
let,
x=p-q
y=q-r
z=r-p
x+y+z = p-q+q-r+r-p =0
Therefore,
using (1)
x^3+y^3+z^3= 3xyz
(p-q)^3+(q-r)^3+(r-p)^3
3(p-q)(q-r)(r-p)