There is no question. The Romans win the second war with Carthage. Carthage is reduced to nothing. It has no empire. It has no navy. It has no trading network. It's just a coastal city.
That's not enough for some Romans. Cato the Elder has as much burning hate for Carthage as Hamilcar had for Rome. There is only one thing that can satisfy Cato. Carthage must be wiped off the map. It's people must be killed to the last person. In every speech he gives in the Senate, Cato ends with the words Carthago delenda est -- Carthage must be destroyed.
Anti-Carthaginian fever seizes the Senate. Rome needs to go to war with Carthage again. But how?
Rome demands that the people of Carthage tear down their city and rebuild it 50 miles inland. No harbor. No trade. No easy access to the sea. No chance of a new navy. No merchant ships. Really, no Carthage because Carthage is a city built on trade. To this outlandish demand, the Carthaginians say, NO.
Rome declares war. A Roman army besieges the city. The Romans force their way into Carthage. Then, on orders, the Roman soldiers go from house to house killing everyone. The few people who survive are turned into slaves. The city is pulled down. The harbor is destroyed. The fields are destroyed. It is left an empty, ugly ghost city.
Carthage is no more! Like the Etruscans, the Romans have killed off another bitter enemy.