Question 171939
show that x-a is a factor of x^n - a^n for any positive integer n 
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[x^n - a^n]/[x-a] = x^(n-1) + (nC1)ax^(n-2) + (nC2)a^2x^(n-3) + ...+(nCn)a^n

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Cheers,
Stan H.