Разложить многочлен на множители a^9-b^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\| |    \/  b     I*\/ 3 *\/  b  | |    \/  b     I*\/ 3 *\/  b  | |    9 /  3 |
1*|a + \/  b  *cos|--| + I*\/  b  *sin|--||*|a + \/  b  *cos|--| - I*\/  b  *sin|--||*|a + - \/  b  *cos|----| + I*\/  b  *sin|----||*|a + - \/  b  *cos|----| - I*\/  b  *sin|----||*|a + - \/  b  *cos|----| + I*\/  b  *sin|----||*|a + - \/  b  *cos|----| - I*\/  b  *sin|----||*|a + ------- + ---------------|*|a + ------- - ---------------|*\a - \/  b  /
  \               \9 /                \9 // \               \9 /                \9 // \                 \ 9  /                \ 9  // \                 \ 9  /                \ 9  // \                 \ 9  /                \ 9  // \                 \ 9  /                \ 9  // \       2             2       / \       2             2       /              

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

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