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**1. Homework Statement**

i need help finding all the laurent expansions of z/(z^2 - 3z + 2) about z_0 and give the region of convergence of each.

**2. Homework Equations**

i do not understand any of this and need major help. if anyone can, can someone explain to me how to do this step by step please. i've been looking everywhere online and i'm still confused on this. i dont even really understand how to get the geometric series or taylor series of functions. i know the formulas for them: the sum from n=0 to infinity of z^n = 1/1-z and the sum of f^(k) (a)/k! (z-a)^k. i know the formulas but i dont know how to apply them to the functions. is there anyone out there that can help me please, i need major help.

**3. The Attempt at a Solution**