Quick Laurent Series question

Hi

Just to clarify something

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

P.S

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 $\displaystyle \frac{1}{z^2-7z+10}$ would you find the valid regions by using$\displaystyle \frac{1}{z-2} + \frac{1}{z-5}$ or use the partial expansion form $\displaystyle \frac{1}{3(z-5)}- \frac{1}{3(z-2)}$

P.S

The latter.