Problem

Problem

If sin⁡−1x+sin⁡−1y+sin⁡−1z=3π2\sin^{-1}x + \sin^{-1}y + \sin^{-1}z = \frac{3\pi}{2} , then find the value of ∑(x101+y101)(x202+y202)(x303+y303)(x404+y404)\text{find the value of } \sum \frac{(x^{101} + y^{101})(x^{202} + y^{202})}{(x^{303} + y^{303})(x^{404} + y^{404})}

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