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k-0-k-n-1-are-roots-of-x-n-1-simplify-n-k-0-n-1-x-k-y-




Question Number 30523 by abdo imad last updated on 22/Feb/18
 (α_k )_(0≤k≤n−1) are roots of  x^n −1  simplify  Π_n =Π_(k=0) ^(n−1)   (x+α_k y) .
$$\:\left(\alpha_{{k}} \right)_{\mathrm{0}\leqslant{k}\leqslant{n}−\mathrm{1}} {are}\:{roots}\:{of}\:\:{x}^{{n}} −\mathrm{1}\:\:{simplify} \\ $$$$\prod_{{n}} =\prod_{{k}=\mathrm{0}} ^{{n}−\mathrm{1}} \:\:\left({x}+\alpha_{{k}} {y}\right)\:. \\ $$

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