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Math Help - Basic Algebra

  1. #1
    Member srirahulan's Avatar
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    Basic Algebra

    Here I have a proof,can anybody explain how to proof it?

    \frac{1}{1+x^{a-b}+x^{a-c}}+\frac{1}{1+x^{b-c}+x^{b-a}}+\frac{1}{1+x^{c-a}+x^{c-b}}=1
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  2. #2
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    Re: Basic Algebra

    Quote Originally Posted by srirahulan View Post
    Here I have a proof,can anybody explain how to proof it?

    \frac{1}{1+x^{a-b}+x^{a-c}}+\frac{1}{1+x^{b-c}+x^{b-a}}+\frac{1}{1+x^{c-a}+x^{c-b}}=1
    Have you considered trying to get a common denominator?
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    Re: Basic Algebra

    Quote Originally Posted by srirahulan View Post
    Here I have a proof,can anybody explain how to proof it?

    \frac{1}{1+x^{a-b}+x^{a-c}}+\frac{1}{1+x^{b-c}+x^{b-a}}+\frac{1}{1+x^{c-a}+x^{c-b}}=1
    Take note that \frac{1}{1+x^{a-b}+x^{a-c}}=\frac{x^{b+c}}{x^{b+c}+x^{a+c}++x^{a+b}}.
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