Разложить многочлен на множители m^9-n^3

                                                                                                                                                                                                                                                                                      /       ____              ____\ /       ____              ____\              
  /       ____                ____        \ /       ____                ____        \ /         ____                  ____          \ /         ____                  ____          \ /         ____                  ____          \ /         ____                  ____          \ |    9 /  3        ___ 9 /  3 | |    9 /  3        ___ 9 /  3 | /       ____\
  |    9 /  3     /pi\     9 /  3     /pi\| |    9 /  3     /pi\     9 /  3     /pi\| |      9 /  3     /2*pi\     9 /  3     /2*pi\| |      9 /  3     /2*pi\     9 /  3     /2*pi\| |      9 /  3     /4*pi\     9 /  3     /4*pi\| |      9 /  3     /4*pi\     9 /  3     /4*pi\| |    \/  n     I*\/ 3 *\/  n  | |    \/  n     I*\/ 3 *\/  n  | |    9 /  3 |
1*|m + \/  n  *cos|--| + I*\/  n  *sin|--||*|m + \/  n  *cos|--| - I*\/  n  *sin|--||*|m + - \/  n  *cos|----| + I*\/  n  *sin|----||*|m + - \/  n  *cos|----| - I*\/  n  *sin|----||*|m + - \/  n  *cos|----| + I*\/  n  *sin|----||*|m + - \/  n  *cos|----| - I*\/  n  *sin|----||*|m + ------- + ---------------|*|m + ------- - ---------------|*\m - \/  n  /
  \               \9 /                \9 // \               \9 /                \9 // \                 \ 9  /                \ 9  // \                 \ 9  /                \ 9  // \                 \ 9  /                \ 9  // \                 \ 9  /                \ 9  // \       2             2       / \       2             2       /              

$$\left(m + \left(\sqrt[9]{n^{3}} \cos{\left(\frac{\pi}{9} \right)} - i \sqrt[9]{n^{3}} \sin{\left(\frac{\pi}{9} \right)}\right)\right) 1 \left(m + \left(\sqrt[9]{n^{3}} \cos{\left(\frac{\pi}{9} \right)} + i \sqrt[9]{n^{3}} \sin{\left(\frac{\pi}{9} \right)}\right)\right) \left(m - \left(\sqrt[9]{n^{3}} \cos{\left(\frac{2 \pi}{9} \right)} - i \sqrt[9]{n^{3}} \sin{\left(\frac{2 \pi}{9} \right)}\right)\right) \left(m - \left(\sqrt[9]{n^{3}} \cos{\left(\frac{2 \pi}{9} \right)} + i \sqrt[9]{n^{3}} \sin{\left(\frac{2 \pi}{9} \right)}\right)\right) \left(m - \left(\sqrt[9]{n^{3}} \cos{\left(\frac{4 \pi}{9} \right)} - i \sqrt[9]{n^{3}} \sin{\left(\frac{4 \pi}{9} \right)}\right)\right) \left(m - \left(\sqrt[9]{n^{3}} \cos{\left(\frac{4 \pi}{9} \right)} + i \sqrt[9]{n^{3}} \sin{\left(\frac{4 \pi}{9} \right)}\right)\right) \left(m + \left(\frac{\sqrt[9]{n^{3}}}{2} + \frac{\sqrt{3} i \sqrt[9]{n^{3}}}{2}\right)\right) \left(m + \left(\frac{\sqrt[9]{n^{3}}}{2} - \frac{\sqrt{3} i \sqrt[9]{n^{3}}}{2}\right)\right) \left(m - \sqrt[9]{n^{3}}\right)$$

((((((((1*(m + ((n^3)^(1/9)*cos(pi/9) + i*(n^3)^(1/9)*sin(pi/9))))*(m + ((n^3)^(1/9)*cos(pi/9) - i*(n^3)^(1/9)*sin(pi/9))))*(m - ((n^3)^(1/9)*cos(2*pi/9) + i*(n^3)^(1/9)*sin(2*pi/9))))*(m - ((n^3)^(1/9)*cos(2*pi/9) - i*(n^3)^(1/9)*sin(2*pi/9))))*(m - ((n^3)^(1/9)*cos(4*pi/9) + i*(n^3)^(1/9)*sin(4*pi/9))))*(m - ((n^3)^(1/9)*cos(4*pi/9) - i*(n^3)^(1/9)*sin(4*pi/9))))*(m + ((n^3)^(1/9)/2 + i*sqrt(3)*(n^3)^(1/9)/2)))*(m + ((n^3)^(1/9)/2 - i*sqrt(3)*(n^3)^(1/9)/2)))*(m - (n^3)^(1/9))