Answer:
One method that China used to expand its empire after the fall of the Ming Dynasty was the use of their military. After the fall of the Ming Dynasty, the Qing Dynasty rose, where regional leaders were permitted the right to control captured territories and the founding emperors organized and led armies. The dynasty depended on the military for protection and expansion. They aggressively conquered lands across an eighty-year period, expanding defensively for security reasons. Their aggressive attitude helped them conquer a large amount of land.
Another method that China used to expand its empire after the fall of the Ming Dynasty was their tolerance for the local people's diverse cultures. Even though they were aggressive in their stance, they generally did not seek to assimilate the locals into Chinese culture, respecting Mongolian, Tibetan, and Muslim cultures of the region. Over time, it expanded China's reach and added a small but crucial minority of non-Chinese people to the empire's population.