a fight to the finish

a fight, contest, or match which only ends with the complete defeat of one of the parties involved

一決雌雄（或你死我活）的爭斗（或競賽、比賽）

finish someone off

kill, destroy, or comprehensively defeat someone

殺死；殲滅；擊潰

finish up

(chiefly Brit)end a period of time or course of action by doing something or being in a particular position

(主英)（以…）告終；最終（成為）

he finished up as one of Britain's greatest architects.

他最終躋身英國最偉大的建筑師行列。