Question

разложите на множители xy^2+x^2y-x^3-y^3

Answer 1

xy² +x²y - x³-y³=(xy²+x²y)-(x³+y³)=
=xy(y+x)-(x+y)(x²-xy+y²)=
=(x+y)(xy-(x²-xy+y²))=(x+y)(xy-x²+xy-y²)=
=(x+y)(2xy-x²-y²)