Formal:
* The coup d'état aimed to oust the corrupt government and establish a new regime.
* The scandal forced the CEO to oust his entire management team.
Informal:
* The new product was so successful that it quickly ousted the old one from the market.
* My cat tried to oust my dog from his favorite spot on the couch.
Figurative:
* The cold weather ousted any thoughts of going for a walk.
* Her powerful performance ousted all doubt about her talent.
Note: "Oust" usually implies the use of force or pressure to remove someone from a position of power or authority.