Разложите ** множители: xy(x-y)-xz(y-z)-xz(x-y)+yz(y-z)

Question

Разложите на множители:

xy(x-y)-xz(y-z)-xz(x-y)+yz(y-z)

Answer 1

=(x-y)(xy-xz)+(y-z)(yz-xz)=(x-y)х(y-z)+(y-z)z(y-z)=(y-z)(х(х-у)+(y-z)z)=(y-z)(x^2-xy+yz-z^2)