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Math Help - Simplifying

  1. #1
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    Simplifying

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

    Why is this so?
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  2. #2
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    1- \frac{1}{1+x^2} = \frac{1+x^2}{1+x^2}- \frac{1}{1+x^2} = \frac{1+x^2-1}{1+x^2} = \frac{x^2}{1+x^2}
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  3. #3
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    Thanks. I never thought about adding or subtracting one.
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  4. #4
    MHF Contributor
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    Talking

    Quote Originally Posted by KyleC View Post
    (x^2)/(1+x^2) = (1- (1/(1+x^2))

    Why is this so?
    To go from the left-hand side to the right-hand side, turn the divisor around to get x^2\, +\, 1, and then do the long division on x^2\, +\, 0x\, +\, 0.
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