Answer:
The text evidence from Chapter 5 of "The Prince" by Machiavelli that supports his primary purpose to persuade readers that a conquering prince must destroy a former republic if he hopes to hold it includes:
1. **The explanation of how Rome held Capua, Carthage, and Numantia:**
- This passage illustrates that the Romans, in order to maintain control over certain cities, chose to dismantle them. This action is presented as a strategic move to ensure lasting dominance.
2. **The description of liberty as a rallying cry for rebellion in former republics:**
- Machiavelli argues that when a city is accustomed to freedom, not destroying it may lead to rebellion. The rallying cry of liberty and ancient privileges can become powerful forces against the conqueror.
3. **The example of the Florentines losing control over Pisa:**
- While not explicitly mentioned in the options, the example of the Florentines losing control over Pisa supports Machiavelli's argument. It serves as a practical example of the consequences of not taking decisive measures when acquiring a former republic.
These passages collectively convey Machiavelli's perspective on the necessity of strategic actions, including dismantling, to maintain control over conquered republics.