Answer:
They would teach the leaders of newly conquered territories the quechua language.
If they revolted against the Incan authority, they were executed and the trustworthy would be sent to govern the new areas.
Step-by-step explanation:
After taking over new territories, the Incas would offer gifts to the conquered leaders. Accepting the gifts would mean that they accept the Incan authority.
These leaders would then travel to Cuzco where they would be taught the quechua language and adopt the Incan culture. After this process they would return back to rule according to the Incan tradition.
The leaders that opposed to the authority of the Incas would be executed and the Inca nobility would be sent to establish order in the area.