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

If `x+y+z=x y z` 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)dot`

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`x+y+z = xyz`
Let `x = tanA, y = tanB, z = tanC`
Then,
`tanA+tanB+tanC = tanAtanBtanC`
It implies that,
`A+B+C = npi`
`=>2A+2B+2C = 2npi`
`:. tan2A+tan2B+tan2C = tan2Atan2Btan2C`
...
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