# Quick Laurent Series question

• November 14th 2011, 05:48 PM
Paymemoney
Quick Laurent Series question
Hi
Just to clarify something
If the given question was to find the Laurent Series of $\frac{1}{z^2-7z+10}$ would you find the valid regions by using $\frac{1}{z-2} + \frac{1}{z-5}$ or use the partial expansion form $\frac{1}{3(z-5)}- \frac{1}{3(z-2)}$

P.S
• November 14th 2011, 05:59 PM
mr fantastic
Re: Quick Laurent Series question
Quote:

Originally Posted by Paymemoney
Hi
Just to clarify something
If the given question was to find the Laurent Series of $\frac{1}{z^2-7z+10}$ would you find the valid regions by using $\frac{1}{z-2} + \frac{1}{z-5}$ or use the partial expansion form $\frac{1}{3(z-5)}- \frac{1}{3(z-2)}$

P.S

The latter.