Answer:
The conflict between Hamilton and Jefferson started because they had very different political beliefs. Hamilton was a Federalist who wanted a strong central government, a national bank, and a modernized economy. On the other hand, Jefferson was a Democratic-Republican who believed in limited government power, farming, and following the Constitution strictly.
Their feud got worse after some things happened during George Washington's presidency. Hamilton's economic plans were seen as helping the rich and powerful, which Jefferson didn't like. Also, when Hamilton's affair with Maria Reynolds became public, Jefferson and his friends used it to attack Hamilton's reputation and power.
The feud kept going during John Adams' presidency, with Hamilton and his supporters backing Adams and Jefferson and his supporters opposing him. They argued about things like the Alien and Sedition Acts and the Quasi-War with France. They also insulted each other in newspapers.
The documentary "Thomas Jefferson: The Best of Enemies" explores their bitter hatred for each other. Jefferson thought Hamilton was very bad, and Hamilton thought Jefferson was a dangerous radical. Their rivalry helped create the two-party system in American politics and influenced the future of the country for many years.