Разложить многочлен на множители b^9+a^12

                                                                  /       _____              _____\ /       _____              _____\ /         _____              _____\ /         _____              _____\ /         _____            _____\ /           _____            _____\ /               _____        _____\ /           _____            _____\
  /       _____\ /       _____\ /         _____\ /         _____\ |    12/   9        ___ 12/   9 | |    12/   9        ___ 12/   9 | |      12/   9        ___ 12/   9 | |      12/   9        ___ 12/   9 | |      12/   9      ___ 12/   9 | |        12/   9      ___ 12/   9 | |        ___ 12/   9      12/   9 | |        12/   9      ___ 12/   9 |
  |    12/   9 | |    12/   9 | |      12/   9 | |      12/   9 | |    \/  -b     I*\/ 3 *\/  -b  | |    \/  -b     I*\/ 3 *\/  -b  | |      \/  -b     I*\/ 3 *\/  -b  | |      \/  -b     I*\/ 3 *\/  -b  | |    I*\/  -b     \/ 3 *\/  -b  | |      I*\/  -b     \/ 3 *\/  -b  | |      \/ 3 *\/  -b     I*\/  -b  | |      I*\/  -b     \/ 3 *\/  -b  |
1*\a + \/  -b  /*\a - \/  -b  /*\a + I*\/  -b  /*\a - I*\/  -b  /*|a + -------- + ----------------|*|a + -------- - ----------------|*|a + - -------- + ----------------|*|a + - -------- - ----------------|*|a + ---------- + --------------|*|a + - ---------- + --------------|*|a + - -------------- + ----------|*|a + - ---------- - --------------|
                                                                  \       2              2        / \       2              2        / \         2              2        / \         2              2        / \        2              2       / \          2              2       / \            2              2     / \          2              2       /

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

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