I thought it to be easy...
The great statesman of Rome, Cato, is reported by the historians as ending all his speeches, no matter what their subject, with the statement, "I also think that Carthage should be destroyed." Carthage had, through the first half of the second century BC, recovered much of its prosperity through its commercial activities, although it had not gained back much power. The Romans, deeply suspicious of a reviving Carthage, demanded that the Carthaginians abandon their city and move inland into North Africa. The Carthaginians, who were a commercial people that depended on sea trade, refused. The Roman Senate declared war, and Rome attacked the city itself. After a seige, the Romans stormed the town and the army went from house to house slaughtering the inhabitants in what is perhaps the greatest systematic execution of non-combatants before World War II. Carthaginians who weren't killed were sold into slavery. The harbor and the city was demolished, and all the surrounding countryside was sown with salt in order to render it uninhabitable.

Hannibal fought again Rome druing the 2nd Punic war, the one with the elephants over the Swiss Alps.

Punic, by the way, is derived from Poeni, the Latin form of Phoenicians. Not to be confused with the Peloponnesians, which are of course the Greek.