Retrieve all users from a team using web api

Hi

I have a requirement to retrieve all the users from Teams starting with "Kat" and display them in a dropdown. I am using web api to retrieve the same.
I made three get requests. one for teams(getting teamid's) staring with Kat in team entity. another for getting userid based on teamid from teammembership entity.
And another to get user name from userid we got before.

I need to know is there any way to perform this whole operation using one get request using $expand.Please suggest. Please throw some light if you seen you can optimize my web api calls mentioned above.

Thanks
Goutham