Разложите на множители: x^3-y^3-5x(x^2+xy+y^2).

\[x^{3} - y^{3} - 5x\left( x^{2} + xy + y^{2} \right) =\]

\[= (x - y)\left( x^{2} + xy + y^{2} \right) - 5x\left( x^{2} + xy + y^{2} \right) =\]

\[= \left( x^{2} + xy + y^{2} \right)(x - y - 5x) =\]

\[= \left( x^{2} + xy + y^{2} \right)( - 4x - y) =\]

\[= - \left( x^{2} + xy + y^{2} \right)(4x + y).\]