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Generalize the pattern for the division of (x^n)-(y^n) by x-y

  • math -

    set up a long algebraic divsion , hard to show in this format
    I hope you know how to perform that
    I got

    x^n - y^n = (x-y)(x^(n-1) + yx^(n-2) + y^2 x^(n-3) + ... + y^(n-1) )

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