Math

How do I simplify this Complex Rational Expression?
1/x-1+1/x+1 over 1/x-1-1/x+1

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  1. I assume you really meant

    1/(x-1)+1/(x+1)
    ------------------
    1/(x-1)-1/(x+1)

    cross-multiply to put top and bottom over a common denominator of (x-1)(x+1)

    Then since the same denominator occurs top and bottom, it can be discarded, just as

    (2/3)/(5/3) = 2/5

    now you have

    (x+1)+(x-1)
    ----------------
    (x+1)-(x-1)

    and that's just too easy, right?

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