# Basic Algebra

• Aug 23rd 2012, 06:47 AM
srirahulan
Basic Algebra
Here I have a proof,can anybody explain how to proof it?

$\frac{1}{1+x^{a-b}+x^{a-c}}+\frac{1}{1+x^{b-c}+x^{b-a}}+\frac{1}{1+x^{c-a}+x^{c-b}}=1$
• Aug 23rd 2012, 07:01 AM
Prove It
Re: Basic Algebra
Quote:

Originally Posted by srirahulan
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?
• Aug 23rd 2012, 07:09 AM
Plato
Re: Basic Algebra
Quote:

Originally Posted by srirahulan
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 $\frac{1}{1+x^{a-b}+x^{a-c}}=\frac{x^{b+c}}{x^{b+c}+x^{a+c}++x^{a+b}}$.