Разложите ** множители m(x-y)^3+m(y-z)^3-m(x-z)^3

Question

Разложите на множители m(x-y)^3+m(y-z)^3-m(x-z)^3

Answer 1

M[(x-y)³+(y-z)³-(x-z)³]=m(x³-3x²y+3xy²-y³+y³-3y²z+3yz²-z³-x³+3x²z-3xz²+z³)=
=-3m(x²y-xy²+y²z-yz²-x²z+xz²)