Proving an algebraic identity

[Al-Layth]

I need to prove:
[math](1+x^2)^{-\frac{1}{2}}-x^2(1+x^2)^{-\frac{3}{2}}=(1+x^2)^{-\frac{3}{2}}[/math]
But I dont know where to even begin as the exponents are different.

 

[Al-Layth]

How do I delete a question

 

[topsquark]

How do I delete a question

You don't. I presume you have an answer. Would you care to share it with us?

-Dan

 

[Dr.Peterson]

I need to prove:
[math](1+x^2)^{-\frac{1}{2}}-x^2(1+x^2)^{-\frac{3}{2}}=(1+x^2)^{-\frac{3}{2}}[/math]
But I dont know where to even begin as the exponents are different.

If someone else is looking at this and wondering as you did, my hint would be to do something equivalent to adding fractions using a common denominator. You could also think of it as factoring out a common factor.