Laurent series of $1/((z+1)(z+2))$ on its annuli of convergence

OFind the Laurent series of \(\begin{array} { r } { f ( z ) = \frac { 1 } { ( z + 1 ) ( z + 2 ) } } \end{array}\) such that it converges in the regions (a) \(| z | < 1 ;\)

2. \(1 < | z | < 2 ;\)

3. \(| z | > 2 ;\)

4. \(0 < | z + 1 | < 1 .\)