x^2(z+y)+x(y+z)^2+(y+z)yz

.......x(z+y)+(y+z)z
----------------------------------
(x+y))x^2(z+y)+x(y+z)^2+(y+z)yz
......x^2(z+y)+xy(z+y)
-----------------------------------
...............x(y+z)z
...............x(y+z)z+(y+z)yz
---------------------------------------
...........................0

(x+y)(y+z)(x+z)