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If x+y+z=xzy, prove that : (2x)/(1-x^2) ...

If `x+y+z=xzy`, prove that : `(2x)/(1-x^2) + (2y)/(1-y^2) + (2z)/(1-z^2) = (2x)/(1-x^2) (2y)/(1-y^2) (2z)/(1-z^2)`

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