How did the Romans finally defeat Carthage in the Punic Wars?

The Romans won the first punic war by defeating the Carthaginian navy. The second punic war was when Hannibal invaded Italy ... Then Scipio Africanus took the war from Italy to Carthage and New Carthage (Spain) and defeated the Carthaginians in their own lands. The key factor the Romans had over Carthage was resources.

Explanation:

The Carthaginian navy had long been able to enforce the treaty which kept Rome from trading in the western Mediterranean ... After an initial struggle with military tactics, Rome won a series of victories and finally defeated Carthage in 241 BCE. Carthage was forced to cede Sicily to Rome and pay a heavy war indemnity.

After the council in carthage had failed to support hannibal and a reinforcing army had been beaten at the metaurus Rome invaded africa under Scipio Romes best general who had conquered the carhaginian part of spain beating the local armies at battles including Baecula. Hannibal met him at Zama and was defeated

Explanation:

When the First Punic War (264-241 BCE) began, however, Rome proved far more resourceful than Carthage could have imagined ... After an initial struggle with military tactics, Rome won a series of victories and finally defeated Carthage in 241 BCE. Carthage was forced to cede Sicily to Rome and pay a heavy war indemnity