Разложите на множители ax^6-3x^6-ax^3+3x^3.

\[ax^{6} - 3x^{6} - ax^{3} + 3x^{3} =\]

\[= x^{6}(a - 3) - x^{3}(a - 3) =\]

\[= (a - 3)\left( x^{6} - x^{3} \right) = x^{3}\left( x^{3} - 1 \right)(a - 3) =\]

\[= x^{3}(x - 1)(x^{2} + x + 1)(a - 3)\]