Sum of odd terms is $A$ and sum of even terms is $B$ in the expansion ${(x + a)^n},$ then

  • A

    $AB = \frac{1}{4}{(x - a)^{2n}} - {(x + a)^{2n}}$

  • B

    $2AB = {(x + a)^{2n}} - {(x - a)^{2n}}$

  • C

    $4AB = {(x + a)^{2n}} - {(x - a)^{2n}}$

  • D

    None of these

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