Obtaining a Laurent expansion

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I have to solve this question: Find the Laurent expansion for $f(z)={z \over z^2+1}$ in the region |z-3|>2.
I know I have to write f(z) in terms of z-3 and I have already done that:
${0.5 \over (z-3)+3+i} + {0.5 \over (z-3)+3-i}$
But I don't know how to continue