Разложите на множители: x^2 y^3-xy+y-y^3.

\[x^{2}y^{3} - xy + y - y^{3} =\]

\[= y^{3}\left( x^{2} - 1 \right) - y(x - 1) =\]

\[= y^{3}(x - 1)(x + 1) - y(x - 1) =\]

\[= y(x - 1)\left( y^{2}(x + 1) - 1 \right) =\]

\[= y(x - 1)(xy^{2} + y - 1)\]