finish off
US /ˈfɪn.ɪʃ ɑːf/
UK /ˈfɪn.ɪʃ ɑːf/

1.
to complete the last part of something
:
•
I need to finish off this report before I leave.
•
Let's finish off the remaining work quickly.
2.
to kill or destroy someone or something completely
:
•
The disease eventually finished off the old tree.
•
One more blow will finish him off.