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Math Help - Simplify Rational Expression

  1. #1
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    Simplify Rational Expression

    x-(y-1) Help please!
    (y-1)-x

    I did this but I'm not sure it's correct:

    -1(x-(y-1)) =

    (y-1)-x

    -x+(y-1) =
    (y-1)-x

    (y-1)-x = 1????
    (y-1)-x

    Thank you!



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  2. #2
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    Quote Originally Posted by autumnafternoon View Post
    x-(y-1) Help please!
    (y-1)-x

    I did this but I'm not sure it's correct:

    -1(x-(y-1)) = why this and not -\left( (y-1)^2 - x^2 \right)
    (y-1)-x

    -x+(y-1) =
    (y-1)-x

    (y-1)-x = 1????
    (y-1)-x

    Thank you!


    Very close! See above.
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  3. #3
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    I'm sorry....I don't understand. Is the answer the same but my process wrong?
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  4. #4
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    Quote Originally Posted by autumnafternoon View Post
    I'm sorry....I don't understand. Is the answer the same but my process wrong?
    No, what I'm saying is that the numerator

    x^2 - (y-1)^2 = -\left( (y-1)^2 - x^2 \right)

    so

    \frac{x^2 - (y-1)^2}{(y-1)^2-x^2 } = \frac{-\left( (y-1)^2 - x^2 \right)}{(y-1)^2-x^2 } = -1
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  5. #5
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    Omg! You wouldn't believe how many times I had to repeat that process until what you wrote sunk in....doh! . Thank you SO much for your help!
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