Suppose $\tan ^{-1} y = \tan ^{-1} x + \tan ^{-1} \left( \frac{2x}{1 - x^2} \right)$,where $|x| < \frac{1}{\sqrt{3}}$,then one of the values of $y$ is

  • A
    $\frac{3x + x^3}{1 + 3x^2}$
  • B
    $\frac{3x - x^3}{1 + 3x^2}$
  • C
    $\frac{3x + x^3}{1 - 3x^2}$
  • D
    $\frac{3x - x^3}{1 - 3x^2}$

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