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Math Help - Simplify double fraction

  1. #1
    Newbie
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    Simplify double fraction

    Hello, this seems relatively simple but I cant figure it out:

    Simplify:

    and the second part is to find three values of x that may not be used in the evaluation of the expression?
    If possible could you please show steps becuase I have seven more similar ones to do. Thanks Very Much!
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, celebciti!

    Simplify:


    and the second part is to find three values of x that may not be used
    in the evaluation of the expression.

    Multiply top and bottom by the LCD: (x + 1)(x - 1)

    . . . . . . . . . . . . 2
    (x + 1)(x - 1) . ------ + 1
    . . . . . . . . . . . x - 1 . . . . . . . .2(x + 1) + (x + 1)(x - 1)
    . . . . . . . . . . ------------- . = . ------------------------------
    . . . . . . . . . . . . 1 . . . . . . . . . .(x - 1) + (x + 1)(x - 1)
    (x + 1)(x - 1) . ------ + 1
    . . - . . - . . . . .x + 1



    . . . . . 2x + 2 + x - 1 . . . . x + 2x + 1 . . . .(x + 1)(x + 1)
    . . = . ------------------- . = . -------------- . = . -----------------
    . . . . . .x - 1 + x - 1 . - . . . x + x - 2 . . - . .(x - 1)(x + 2)



    In the original expression, we see that: .x ≠ 1 and x ≠ -1

    In the final form, we see that: .x ≠ -2

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  3. #3
    Junior Member
    Joined
    Dec 2006
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    Since you are not allwed to divide by zero, you have to start by writting the restrictions.
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