Being welcomed as guests, allowed to stay in an area, signing legally binding treaties clearly defining territory, etc, then throwing all that out the window and sending the cavalry to open fire when your hosts are asleep is a called a "con," not "conquering."
You'll might learn this in school shortly after you learn to read.
Just kidding. No, for some curious reason, they don't teach much about this glorious 'conquest' that took two centuries of broken contracts with Kings and Presidents.
Go figure.