hi im having a bit of trouble with laurnet series. im not really sure whats going on.

expand f(z) = 1/((z+1)(z+2)) in a laurnet series where the annulus contains the point z=7/2

i know that there are singularites at z=-1 and z=-2. and in the question i was given the hint to have the centre of the annulus at z=1. but im still not really sure what to do to expand the function.

any help would be great

thanks