Finding the general term in binomial series

In Amath, finding the general term in binomial expansion is easy, because we can easily evaluate nCr.  However, finding the general term in H2 math can be much more challenging because n can be a fraction or negative integer.

For example

 

 

These type of questions have appeared in JC assignments. Fortunately, it has not appeared in A level exam for the past 10 years. Nevertheless, it is still good to learn how to derive the general term 🙂