Question

(x-y)³+(y-z)³+(z-x)³​

Answer 1

Using conditional identity, i.e. if sum of a, b, c =0, then a^3+b^3+c^3=3abc

x-y+y-z+z-x=0

Then (x-y)³+(y-z)³+(z-x)³​=3(x-y)(y-z)(z-x)