Too many x,y,z

Algebra Level 4

If x+y+z=0x+y+z=0 , simplify

(xyz+yzx+zxy)(zxy+xyz+yzx). \left( \dfrac{x-y}z + \dfrac{y-z}x + \dfrac{z-x}y \right)\left( \dfrac z{x-y} + \dfrac x{y-z} + \dfrac y{z-x} \right).

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