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Math Help - Simplifying

  1. #1
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    Post Simplifying

    Hi all,

    I wanted to know what are the steps to simplify the following:

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

    = -2/(x^2-1)

    = 2/(1-x^2)

    as you can see the terms have been simplifyed but I don't know how it is done. I need help to show the steps please.

    Thank you
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by dadon View Post
    Hi all,

    I wanted to know what are the steps to simplify the following:

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

    = -2/(x^2-1)

    = 2/(1-x^2)

    as you can see the terms have been simplifyed but I don't know how it is done. I need help to show the steps please.

    Thank you


    1/(x+1) - 1/(x-1) .............combine fractions using the lcm as the product of the 2 denominators.

    =...(x - 1) - (x + 1)
    ...----------------- ........do you know how to complete the numerator for this step?
    ......(x - 1)(x + 1)

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

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

    =...-1...................-2
    ....----.....x....------------ i'm essentially multiplying by 1 here so no change
    .....-1..............(x^2 - 1)

    =...........2
    ......------------
    ........(1 - x^2)
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  3. #3
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    Post

    thanks..



    how would you simplify the following:


    (1-x^2)/(1-x^2)^1/2 + (1-x^2)^1/2

    to get:

    (1-x^2)^1/2 + (1-x^2)^1/2

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