can any one help ma to evaluate the determinant by using properties?

determinant is.........

1st row x^3 y^3 z^3

x^2 y^2 z^2

y+z x+z x+y

we have to prove that value of this determinant is equall to.
............ -(x-y)^2 (y-z)^2 (z-x)^2
by using properties.
thanks
nmaths.