Factor polynomial x^8-y^6

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|      8 /  6 | |      8 /  6 | |    \/ 2 *\/  y     I*\/ 2 *\/  y  | |    \/ 2 *\/  y     I*\/ 2 *\/  y  | |      \/ 2 *\/  y     I*\/ 2 *\/  y  | |      \/ 2 *\/  y     I*\/ 2 *\/  y  | |    8 /  6 | |    8 /  6 |
\x + I*\/  y  /*\x - I*\/  y  /*|x + ------------- + ---------------|*|x + ------------- - ---------------|*|x + - ------------- + ---------------|*|x + - ------------- - ---------------|*\x + \/  y  /*\x - \/  y  /
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$$\left(x - i \sqrt[8]{y^{6}}\right) \left(x + i \sqrt[8]{y^{6}}\right) \left(x + \left(\frac{\sqrt{2} \sqrt[8]{y^{6}}}{2} + \frac{\sqrt{2} i \sqrt[8]{y^{6}}}{2}\right)\right) \left(x + \left(\frac{\sqrt{2} \sqrt[8]{y^{6}}}{2} - \frac{\sqrt{2} i \sqrt[8]{y^{6}}}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[8]{y^{6}}}{2} + \frac{\sqrt{2} i \sqrt[8]{y^{6}}}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[8]{y^{6}}}{2} - \frac{\sqrt{2} i \sqrt[8]{y^{6}}}{2}\right)\right) \left(x + \sqrt[8]{y^{6}}\right) \left(x - \sqrt[8]{y^{6}}\right)$$

(((((((x + i*(y^6)^(1/8))*(x - i*(y^6)^(1/8)))*(x + sqrt(2)*(y^6)^(1/8)/2 + i*sqrt(2)*(y^6)^(1/8)/2))*(x + sqrt(2)*(y^6)^(1/8)/2 - i*sqrt(2)*(y^6)^(1/8)/2))*(x - sqrt(2)*(y^6)^(1/8)/2 + i*sqrt(2)*(y^6)^(1/8)/2))*(x - sqrt(2)*(y^6)^(1/8)/2 - i*sqrt(2)*(y^6)^(1/8)/2))*(x + (y^6)^(1/8)))*(x - (y^6)^(1/8))