Mark the correct alternative in each of the following: If the sum of odd numbered terms and the ...

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Mark the correct alternative in each of the following:
If the sum of odd numbered terms and the sum of even numbered terms in the expansion of \( (x+a)^{n} \) are \( A \) and \( B \) respectively, then the value of \( \left(x^{2}-a^{2}\right)^{n} \) is
(A) \( A^{2}-B^{2} \)
(B) \( A^{2}+B^{2} \)
(C) \( 4 A B \)
(D) none of these
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