Why was William the Conqueror strengthen his powers after becoming king England in 1066?

William the Conqueror strengthened his powers after becoming king of England in 1066 to solidify his control over a newly conquered territory and to quell potential rebellions. He implemented the feudal system, distributing land to his loyal Norman nobles while taking land from Anglo-Saxon nobility, thereby securing their loyalty through land ownership. Additionally, he commissioned the Domesday Book to assess and record landholdings, which facilitated effective tax collection and governance. These measures helped establish a strong centralized authority and integrate Norman rule into English society.