/ˌaʊtˈduː/
outdo
BrE /ˌaʊtˈduː/
NAmE /ˌaʊtˈduː/
~ sb/sth
to do more or better than sb else
SYN beat
Sometimes small firms can outdo big business when it comes to customer care.
Not to be outdone (= not wanting to let sb else do better), she tried again.