(x-y-z)(x+y-z)-(y-z-x)(y+z-x)
=(x-y-z)(x+y-z)+(y-z-x)(x-y-z)
=(x-y-z)(x+y-z+y-z-x)
=(x-y-z)(2y-2z)
=2(x-y-z)(y-z)