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Question Number 73049 by mathmax by abdo last updated on 05/Nov/19

simplifyA_n = Σ_(k=0) ^n ((k/n)−α)^2  C_n ^k  X^k (1−X)^(n−k)

$${simplifyA}_{{n}} =\:\sum_{{k}=\mathrm{0}} ^{{n}} \left(\frac{{k}}{{n}}−\alpha\right)^{\mathrm{2}} \:{C}_{{n}} ^{{k}} \:{X}^{{k}} \left(\mathrm{1}−{X}\right)^{{n}−{k}} \\ $$

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