Разложить многочлен на множители 27-x^9

              /    3 ___      5/6\ /    3 ___      5/6\                                                                                                                                                                                                                                                            
  /    3 ___\ |    \/ 3    I*3   | |    \/ 3    I*3   | /    3 ___    /pi\     3 ___    /pi\\ /    3 ___    /pi\     3 ___    /pi\\ /      3 ___    /2*pi\     3 ___    /2*pi\\ /      3 ___    /2*pi\     3 ___    /2*pi\\ /      3 ___    /4*pi\     3 ___    /4*pi\\ /      3 ___    /4*pi\     3 ___    /4*pi\\
1*\x - \/ 3 /*|x + ----- + ------|*|x + ----- - ------|*|x + \/ 3 *cos|--| + I*\/ 3 *sin|--||*|x + \/ 3 *cos|--| - I*\/ 3 *sin|--||*|x + - \/ 3 *cos|----| + I*\/ 3 *sin|----||*|x + - \/ 3 *cos|----| - I*\/ 3 *sin|----||*|x + - \/ 3 *cos|----| + I*\/ 3 *sin|----||*|x + - \/ 3 *cos|----| - I*\/ 3 *sin|----||
              \      2       2   / \      2       2   / \             \9 /              \9 // \             \9 /              \9 // \               \ 9  /              \ 9  // \               \ 9  /              \ 9  // \               \ 9  /              \ 9  // \               \ 9  /              \ 9  //

$$1 \left(x - \sqrt[3]{3}\right) \left(x + \left(\frac{\sqrt[3]{3}}{2} + \frac{3^{\frac{5}{6}} i}{2}\right)\right) \left(x + \left(\frac{\sqrt[3]{3}}{2} - \frac{3^{\frac{5}{6}} i}{2}\right)\right) \left(x + \left(\sqrt[3]{3} \cos{\left(\frac{\pi}{9} \right)} + \sqrt[3]{3} i \sin{\left(\frac{\pi}{9} \right)}\right)\right) \left(x + \left(\sqrt[3]{3} \cos{\left(\frac{\pi}{9} \right)} - \sqrt[3]{3} i \sin{\left(\frac{\pi}{9} \right)}\right)\right) \left(x - \left(\sqrt[3]{3} \cos{\left(\frac{2 \pi}{9} \right)} - \sqrt[3]{3} i \sin{\left(\frac{2 \pi}{9} \right)}\right)\right) \left(x - \left(\sqrt[3]{3} \cos{\left(\frac{2 \pi}{9} \right)} + \sqrt[3]{3} i \sin{\left(\frac{2 \pi}{9} \right)}\right)\right) \left(x - \left(\sqrt[3]{3} \cos{\left(\frac{4 \pi}{9} \right)} - \sqrt[3]{3} i \sin{\left(\frac{4 \pi}{9} \right)}\right)\right) \left(x - \left(\sqrt[3]{3} \cos{\left(\frac{4 \pi}{9} \right)} + \sqrt[3]{3} i \sin{\left(\frac{4 \pi}{9} \right)}\right)\right)$$

((((((((1*(x - 3^(1/3)))*(x + (3^(1/3)/2 + i*3^(5/6)/2)))*(x + (3^(1/3)/2 - i*3^(5/6)/2)))*(x + (3^(1/3)*cos(pi/9) + i*3^(1/3)*sin(pi/9))))*(x + (3^(1/3)*cos(pi/9) - i*3^(1/3)*sin(pi/9))))*(x - (3^(1/3)*cos(2*pi/9) + i*3^(1/3)*sin(2*pi/9))))*(x - (3^(1/3)*cos(2*pi/9) - i*3^(1/3)*sin(2*pi/9))))*(x - (3^(1/3)*cos(4*pi/9) + i*3^(1/3)*sin(4*pi/9))))*(x - (3^(1/3)*cos(4*pi/9) - i*3^(1/3)*sin(4*pi/9)))