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If for `n in N, underset(k=0)overset(2n)sum(-1)^(k)(.^(2n)C_(k))^(2) = A`, then find the value of `underset(k=0)overset(2n)sum(-1)^(k) (k = 2n)(.^(2n)C_(k))^(2)`.

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
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