The rational expression is .

The form of decomposition of expression is .

                       (Write form of decomposition)

                                       (Multiply each side by )

Let substitute in the above basic equation as follows:

                                      (Write basic equation)

                         (Substitute )

                                                     (Simplify)

                                                     (Divide each side by negative a)

Let substitute in the above basic equation as follows:

                                      (Write basic equation)

                              (Substitute )

                                                        (Simplify)

                                                       (Divide each side by a)

So, the partial fraction decomposition is .

The partial fraction decomposition is .