Why was it difficult for britain to govern america?

The distance across the Atlantic Ocean

The British government would have to travel across the Atlantic to send any communication, enforce any laws or exchange any resources with the American colonies.

Americans were self-sufficient and could provide anything they needed to support their society because of they didn't depend on Great Britain they were less excepted on their rule.

Very useful. it is to learn because history repeats itself so learning about it those mistakes not happen again.