Разложить многочлен на множители a^9-b^12

                                                                                                                                                                                                                                                                                                  /       _____              _____\ /       _____              _____\               
  /       _____                _____        \ /       _____                _____        \ /         _____                  _____          \ /         _____                  _____          \ /         _____                  _____          \ /         _____                  _____          \ |    9 /  12        ___ 9 /  12 | |    9 /  12        ___ 9 /  12 | /       _____\
  |    9 /  12     /pi\     9 /  12     /pi\| |    9 /  12     /pi\     9 /  12     /pi\| |      9 /  12     /2*pi\     9 /  12     /2*pi\| |      9 /  12     /2*pi\     9 /  12     /2*pi\| |      9 /  12     /4*pi\     9 /  12     /4*pi\| |      9 /  12     /4*pi\     9 /  12     /4*pi\| |    \/  b      I*\/ 3 *\/  b   | |    \/  b      I*\/ 3 *\/  b   | |    9 /  12 |
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        /               

$$\left(a + \left(\sqrt[9]{b^{12}} \cos{\left(\frac{\pi}{9} \right)} - i \sqrt[9]{b^{12}} \sin{\left(\frac{\pi}{9} \right)}\right)\right) 1 \left(a + \left(\sqrt[9]{b^{12}} \cos{\left(\frac{\pi}{9} \right)} + i \sqrt[9]{b^{12}} \sin{\left(\frac{\pi}{9} \right)}\right)\right) \left(a - \left(\sqrt[9]{b^{12}} \cos{\left(\frac{2 \pi}{9} \right)} - i \sqrt[9]{b^{12}} \sin{\left(\frac{2 \pi}{9} \right)}\right)\right) \left(a - \left(\sqrt[9]{b^{12}} \cos{\left(\frac{2 \pi}{9} \right)} + i \sqrt[9]{b^{12}} \sin{\left(\frac{2 \pi}{9} \right)}\right)\right) \left(a - \left(\sqrt[9]{b^{12}} \cos{\left(\frac{4 \pi}{9} \right)} - i \sqrt[9]{b^{12}} \sin{\left(\frac{4 \pi}{9} \right)}\right)\right) \left(a - \left(\sqrt[9]{b^{12}} \cos{\left(\frac{4 \pi}{9} \right)} + i \sqrt[9]{b^{12}} \sin{\left(\frac{4 \pi}{9} \right)}\right)\right) \left(a + \left(\frac{\sqrt[9]{b^{12}}}{2} + \frac{\sqrt{3} i \sqrt[9]{b^{12}}}{2}\right)\right) \left(a + \left(\frac{\sqrt[9]{b^{12}}}{2} - \frac{\sqrt{3} i \sqrt[9]{b^{12}}}{2}\right)\right) \left(a - \sqrt[9]{b^{12}}\right)$$

((((((((1*(a + ((b^12)^(1/9)*cos(pi/9) + i*(b^12)^(1/9)*sin(pi/9))))*(a + ((b^12)^(1/9)*cos(pi/9) - i*(b^12)^(1/9)*sin(pi/9))))*(a - ((b^12)^(1/9)*cos(2*pi/9) + i*(b^12)^(1/9)*sin(2*pi/9))))*(a - ((b^12)^(1/9)*cos(2*pi/9) - i*(b^12)^(1/9)*sin(2*pi/9))))*(a - ((b^12)^(1/9)*cos(4*pi/9) + i*(b^12)^(1/9)*sin(4*pi/9))))*(a - ((b^12)^(1/9)*cos(4*pi/9) - i*(b^12)^(1/9)*sin(4*pi/9))))*(a + ((b^12)^(1/9)/2 + i*sqrt(3)*(b^12)^(1/9)/2)))*(a + ((b^12)^(1/9)/2 - i*sqrt(3)*(b^12)^(1/9)/2)))*(a - (b^12)^(1/9))