Read this passage from chapter 5 of the prince.

but when cities or countries are accustomed to live under a prince, and his family is exterminated, they, being on the one hand accustomed to obey and on the other hand not having the old prince, cannot agree in making one from amongst themselves, and they do not know how to govern themselves. for this reason they are very slow to take up arms, and a prince can gain them to himself and secure them much more easily. but in republics there is more vitality, greater hatred, and more desire for vengeance, which will never permit them to allow the memory of their former liberty to rest; so that the safest way is to destroy them or to reside there.

what is machiavelli’s primary purpose in writing this passage?

to inform readers about the differences between principalities and republics
to entertain readers with exciting stories of historical wars, conquests, and rebellions
to convince readers that, to hold a conquered republic, a prince must ruin it or live there
to persuade readers that a prince must eradicate the royal family of a conquered principality