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13 December, 18:55

What is the product of x^4-1/x+1? show all work

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  1. 13 December, 20:37
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    x^3 - x^2 + x - 1

    x + 1 x^4 - 1

    - (x^4 + x^3

    -x^3 - 1

    - (-x^3 - x^2

    x^2 - 1

    - (x^2 + x

    -x - 1

    - (-x - 1

    Therefore, (x^4 - 1) / (x + 1) = x^3 - x^2 + x - 1
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