UPDATE (May 2015):
the \'trash\' functionality has been implemented in GDAA, making the question below irrelevant.
ORIGINAL QUESTION:
As of Google Play services 7.5, both delete and trash are supported: https://developers.google.com/drive/release-notes#drive_android_api_google_play_services_75_-_may_28th_2015
We recommend using trash for user visible files rather than delete, to give users the opportunity to restore any accidentally trashed content. Delete is permanent, and recommended only for App Folder content, where trash is not available.