Find the laurent series on 2<|z|<3
f(z)=1/[(z^2)*(z-2)*(z+3)]
"(in powers of z)" means you find it around z = 0. So the centre is given. It helps if the whole question is posted.
I suggest writing the given function as where the partial fraction decomposition is left for you to finish.
Then expand each of and around z = 0. Then substitute etc.
eg. where you should recognise an infinite geometric series with (note that since .