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Question 1
If $\displaystyle \sum_{K=0}^{2n}(-1)^K\binom{2n}{K}^2 = A$, find $\displaystyle \sum_{K=0}^{2n}(-1)^K(K-2n)\binom{2n}{K}^2$.
A.
$nA$
B.
$-nA$
C.
$0$
D.
$A$
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