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If for n∈ N, ∑_{k=0}^{2n}(-1)^k({}^{2n}C_k)^2=A, then find the value of ∑_{k=0}^{2n}(-1)^k(k-2n)({}^{2n}C_k)^2.

Answer» If for n∈ N, ∑_{k=0}^{2n}(-1)^k({}^{2n}C_k)^2=A, then find the value of ∑_{k=0}^{2n}(-1)^k(k-2n)({}^{2n}C_k)^2.


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