Conquest was the subjugation and control of a place or enemy people by use of military force. Conquests were performed by conquerors.
In 2365, Q described the Borg as not being interested in political conquest. (TNG: "Q Who")
Having come to realize that her version of Solum had been destroyed from the civil war that broke out in an alternate future, the Vau N'Akat dictator Asencia boasted to Gwyndala about how she intended to begin a conquest of the prime universe until their homeworld had been fashioned to her design. (PRO: "Ouroboros, Part I")