Answer:
The text evidence that supports Machiavelli's primary purpose to persuade readers that a conquering prince must destroy a former republic if he hopes to hold it includes:
1. "And whatever you may do or provide against, they never forget that name." This statement emphasizes the enduring power of the idea of liberty in former republics, making it difficult to control them without destruction.
2. "And he who becomes master of a city accustomed to freedom and does not destroy it may expect to be destroyed by it..." This statement directly asserts the idea that not destroying a city accustomed to freedom leads to the conquering prince's downfall.
3. "The Romans, in order to hold Capua, Carthage, and Numantia, dismantled them, and did not lose them." This example illustrates Machiavelli's argument that conquering princes, like the Romans, had to destroy and dismantle cities to retain control.
So, the relevant text evidence emphasizes the necessity of destruction to maintain control over a former republic, supporting Machiavelli's argument.