Prove that tan^(-1)x+tan^(-1)(2x)/(1-x^2...

Prove that `tan^(-1)x+tan^(-1)(2x)/(1-x^2)=tan^(-1)((3x-x^3)/(1-3x^2)),|x|<1/(sqrt(3))`

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Let, `tan^-1 x =y `........(1)
`=> x = tan y`
`tan^-1 ((2x)/(1-x^2)) = tan^(-1) ((2tany)/(1-tan^2y))`
`= tan^-1 (tan2y)= 2y` ......(2)
...

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