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X²n-1is divisible by x-1

Answer» For n=1X^2is divisible by x-1For n=kX^2(k-1)=x-1This is equation oneNow proving that n=k+1is trueX^2(k)=x-1LhsX^2kUsing equation oneX^2=x-1/k-1X-1(k)/k-1is divisible byx-1Hope it helps you, ☺️


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