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Machiavelli works to achieve his primary purpose to convince readers that a prince must ruin a conquered republic or live there by:
1. Contrasting the characteristics of principalities and republics: Machiavelli highlights the differences between these two forms of government to show why a prince must either ruin a conquered republic or reside there. He explains how republics have more vitality, greater hatred, and a stronger desire for vengeance compared to principalities, making it challenging for a prince to rule over a conquered republic without facing continuous rebellions.
2. Identifying the characteristics of government in a republic: Machiavelli describes the nature of republics, emphasizing their tendency to resist domination and hold onto memories of past liberty. By detailing these characteristics, he underscores the challenges a prince would face in governing a conquered republic and why the prince's best options are either destruction or residency within the conquered territory.