Разложить многочлен на множители x^24-y^22

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$$\left(x - i \sqrt[24]{y^{22}}\right) 1 \left(x + i \sqrt[24]{y^{22}}\right) \left(x + \left(\frac{\sqrt{2} \sqrt[24]{y^{22}}}{2} + \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x + \left(\frac{\sqrt{2} \sqrt[24]{y^{22}}}{2} - \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x - \left(\frac{\sqrt{2} \sqrt[24]{y^{22}}}{2} - \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x - \left(\frac{\sqrt{2} \sqrt[24]{y^{22}}}{2} + \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x + \left(\frac{\sqrt{3} \sqrt[24]{y^{22}}}{2} + \frac{i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x + \left(\frac{\sqrt{3} \sqrt[24]{y^{22}}}{2} - \frac{i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x - \left(\frac{\sqrt{3} \sqrt[24]{y^{22}}}{2} - \frac{i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x - \left(\frac{\sqrt{3} \sqrt[24]{y^{22}}}{2} + \frac{i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x + \left(\frac{\sqrt[24]{y^{22}}}{2} + \frac{\sqrt{3} i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x + \left(\frac{\sqrt[24]{y^{22}}}{2} - \frac{\sqrt{3} i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x - \left(\frac{\sqrt[24]{y^{22}}}{2} - \frac{\sqrt{3} i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x - \left(\frac{\sqrt[24]{y^{22}}}{2} + \frac{\sqrt{3} i \sqrt[24]{y^{22}}}{2}\right)\right) \left(x - \left(- \frac{\sqrt{2} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} i \sqrt[24]{y^{22}}}{4}\right)\right) \left(x + \left(- \frac{\sqrt{6} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{2} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} i \sqrt[24]{y^{22}}}{4}\right)\right) \left(x - \left(\frac{\sqrt{2} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} \sqrt[24]{y^{22}}}{4} - \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} i \sqrt[24]{y^{22}}}{4}\right)\right) \left(x - \left(\frac{\sqrt{2} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} \sqrt[24]{y^{22}}}{4} - \frac{\sqrt{6} i \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{4}\right)\right) \left(x + \left(\frac{\sqrt{2} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} \sqrt[24]{y^{22}}}{4} - \frac{\sqrt{6} i \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{4}\right)\right) \left(x + \left(\frac{\sqrt{2} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} \sqrt[24]{y^{22}}}{4} - \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} i \sqrt[24]{y^{22}}}{4}\right)\right) \left(x - \left(- \frac{\sqrt{6} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{2} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} i \sqrt[24]{y^{22}}}{4}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{2} i \sqrt[24]{y^{22}}}{4} + \frac{\sqrt{6} i \sqrt[24]{y^{22}}}{4}\right)\right) \left(x + \sqrt[24]{y^{22}}\right) \left(x - \sqrt[24]{y^{22}}\right)$$

(((((((((((((((((((((((1*(x + i*(y^22)^(1/24)))*(x - i*(y^22)^(1/24)))*(x + (sqrt(2)*(y^22)^(1/24)/2 + i*sqrt(2)*(y^22)^(1/24)/2)))*(x + (sqrt(2)*(y^22)^(1/24)/2 - i*sqrt(2)*(y^22)^(1/24)/2)))*(x - (sqrt(2)*(y^22)^(1/24)/2 + i*sqrt(2)*(y^22)^(1/24)/2)))*(x - (sqrt(2)*(y^22)^(1/24)/2 - i*sqrt(2)*(y^22)^(1/24)/2)))*(x + (i*(y^22)^(1/24)/2 + sqrt(3)*(y^22)^(1/24)/2)))*(x - (i*(y^22)^(1/24)/2 + sqrt(3)*(y^22)^(1/24)/2)))*(x - (sqrt(3)*(y^22)^(1/24)/2 + i*(y^22)^(1/24)/2)))*(x - (i*(y^22)^(1/24)/2 - sqrt(3)*(y^22)^(1/24)/2)))*(x + ((y^22)^(1/24)/2 + i*sqrt(3)*(y^22)^(1/24)/2)))*(x + ((y^22)^(1/24)/2 - i*sqrt(3)*(y^22)^(1/24)/2)))*(x - ((y^22)^(1/24)/2 + i*sqrt(3)*(y^22)^(1/24)/2)))*(x - ((y^22)^(1/24)/2 - i*sqrt(3)*(y^22)^(1/24)/2)))*(x + (sqrt(2)*(y^22)^(1/24)/4 - sqrt(6)*(y^22)^(1/24)/4 - i*sqrt(2)*(y^22)^(1/24)/4 - i*sqrt(6)*(y^22)^(1/24)/4)))*(x + (sqrt(2)*(y^22)^(1/24)/4 - sqrt(6)*(y^22)^(1/24)/4 + i*sqrt(2)*(y^22)^(1/24)/4 + i*sqrt(6)*(y^22)^(1/24)/4)))*(x - (sqrt(2)*(y^22)^(1/24)/4 - sqrt(6)*(y^22)^(1/24)/4 + i*sqrt(2)*(y^22)^(1/24)/4 - i*sqrt(6)*(y^22)^(1/24)/4)))*(x - (sqrt(2)*(y^22)^(1/24)/4 - sqrt(6)*(y^22)^(1/24)/4 + i*sqrt(6)*(y^22)^(1/24)/4 - i*sqrt(2)*(y^22)^(1/24)/4)))*(x + (sqrt(2)*(y^22)^(1/24)/4 + sqrt(6)*(y^22)^(1/24)/4 + i*sqrt(2)*(y^22)^(1/24)/4 - i*sqrt(6)*(y^22)^(1/24)/4)))*(x + (sqrt(2)*(y^22)^(1/24)/4 + sqrt(6)*(y^22)^(1/24)/4 + i*sqrt(6)*(y^22)^(1/24)/4 - i*sqrt(2)*(y^22)^(1/24)/4)))*(x + (sqrt(6)*(y^22)^(1/24)/4 - sqrt(2)*(y^22)^(1/24)/4 - i*sqrt(2)*(y^22)^(1/24)/4 - i*sqrt(6)*(y^22)^(1/24)/4)))*(x + (sqrt(6)*(y^22)^(1/24)/4 - sqrt(2)*(y^22)^(1/24)/4 + i*sqrt(2)*(y^22)^(1/24)/4 + i*sqrt(6)*(y^22)^(1/24)/4)))*(x + (y^22)^(1/24)))*(x - (y^22)^(1/24))