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19 December, 22:09

X-1 divided by X^3-3x^2-x+3

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  1. 19 December, 22:20
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    1 / (x + 1) (x - 3).

    Step-by-step explanation:

    x^3-3x^2-x+3

    = x^2 (x - 3) - 1 (x - 3

    = (x^2 - 1) (x - 3)

    = (x - 1) (x + 1) (x - 3)

    So x - 1 divided by x^3 - 3x^2 - x + 3

    = (x - 1) / (x - 1) (x + 1) (x - 3)

    = 1 / (x + 1) (x - 3).
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