Разложите на множители: c^3+d^3-3cd(c+d).

\[c^{3} + d^{3} - 3cd(c + d) =\]

\[= (c + d)\left( c^{2} - cd + d^{2} \right) - 3cd(c + d) =\]

\[= (c + d)\left( c^{2} - cd + d^{2} - 3cd \right) =\]

\[= (c + d)\left( c^{2} - 4cd + d^{2} \right).\]