If a $cos^3 \alpha + 3a \,cos\, \alpha \, sin^2\, \alpha = m$ and  $asin^3\, \alpha + 3a \, cos^2\, \alpha \,sin\, \alpha = n$ . Then $(m + n)^{2/3} + (m - n)^{2/3}$ is equal to :

  • A

    $2\, a^2$

  • B

    $2\, a^{1/3}$

  • C

    $2 \,a^{2/3}$

  • D

    $2\, a^3$

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