What 3 things led to rome conquering Greece?

Answer 1

During the second Punic War Macedonia interfered on the Carthaginian side. So Rome retaliated after defeating Carthage.

Once having entered eastern Europe, they became embroiled in taking sides in local Greek inter-city struggles.

There was no unity in the Greek world so it becane an easy target for Roman generals seeking self promotion and using these calls for assistance as an excuse to help, and in the process, conquer.