If $\sin 3\alpha = 4\sin \alpha \sin (x + \alpha )\sin (x - \alpha ),$ then $x = $

  • A

    $n\pi \pm \frac{\pi }{6}$

  • B

    $n\pi \pm \frac{\pi }{3}$

  • C

    $n\pi \pm \frac{\pi }{4}$

  • D

    $n\pi \pm \frac{\pi }{2}$

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