Basic Algebra

**srirahulan** · August 23rd 2012, 06:47 AM

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

$\frac{1}{1+x^{a-b}+x^{a-c}}+\frac{1}{1+x^{b-c}+x^{b-a}}+\frac{1}{1+x^{c-a}+x^{c-b}}=1$

**Prove It** · August 23rd 2012, 07:01 AM

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?

**Plato** · August 23rd 2012, 07:09 AM

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 $\frac{1}{1+x^{a-b}+x^{a-c}}=\frac{x^{b+c}}{x^{b+c}+x^{a+c}++x^{a+b}}$ .

Thread: Basic Algebra