![{x}^{2} + {y}^{2} = \sqrt[e]{ \alpha } \\ x - y = \sqrt[e]{ \gamma } \\ x + y = \sqrt[e]{ \beta } \\ find \\ {x}^{4} - {y}^{4}](https://tex.z-dn.net/?f=+%7Bx%7D%5E%7B2%7D++%2B++%7By%7D%5E%7B2%7D++%3D++++%5Csqrt%5Be%5D%7B+%5Calpha+%7D+++%5C%5C++x+-+y+%3D++%5Csqrt%5Be%5D%7B+%5Cgamma+%7D++%5C%5C+x+%2B+y+%3D++%5Csqrt%5Be%5D%7B+%5Cbeta+%7D++%5C%5C+find+%5C%5C++%7Bx%7D%5E%7B4%7D++-++%7By%7D%5E%7B4%7D+ "{x}^{2} + {y}^{2} = \sqrt[e]{ \alpha } \\ x - y = \sqrt[e]{ \gamma } \\ x + y = \sqrt[e]{ \beta } \\ find \\ {x}^{4} - {y}^{4}")
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