$$(x-y)^{2}+(y+z)^{2}+(z-x)^{2}(x-y)(y-z)(z-x)=$$
$\left(x-y\right)\left(y-z\right)\left(z-x\right)^{3}+\left(y+z\right)^{2}+\left(x-y\right)^{2}$
$3x^{2}z^{3}+x^{2}-2xyz^{3}-2xy-xz^{4}+3x\left(yz\right)^{2}+y^{2}x^{3}-y^{2}z^{3}+2y^{2}-yx^{4}+yz^{4}+2yzx^{3}+2yz-3z^{2}x^{3}+z^{2}+zx^{4}-3z\left(xy\right)^{2}$
