((x-y)^5+(y-z)^5+(z-x)^5) is divisible by 5(x-y)(y-z)(z-x)

Given x,y,z, three different integers.

Prove that ((x-y)^5 + (y-z)^5 + (z-x)^5) is divisible by 5(x-y)(y-z)(z-x)