Question

if x+y+z=0 then what is x^3(y-z)+y^3(z-x)+z^3(x-y)

Answer 1

x^3+y^3+z^3(y-z+z-x+x-y)
=x^3+y^3+z^3
now you can also use identity or do as direcrt
=(x+y+z)^3
=(0)^3
=0