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If x + y + z = xyz, then prove that (2x)...

If x + y + z = xyz, then prove that `(2x)/(1- x^(2)) + (2y)/(1 - y^(2)) + (2z)/(1 - z^(2)) = (2x)/(1 - x^(2))cdot (2y)/(1 - y^(2))cdot (2z)/( 1- z^(2))`.

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The correct Answer is:
`(2x)/(1 -x^(2)) cdot (2y)/( 1- y^(2))cdot (2z)/(1 -z^(2))`
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