Other contributors have said "Did Cortes conquer Mexico?" is the same question as "Why did Hernando Cortes want to conqueror Mexico?" If you believe that these are not asking the same thing and should be answered differently, click here
he went to Mexico to conqure Mexico because the govenor of cuba wanted him to when he went he found Aztec people living there the Aztecs thought he was a god sent from above and welcomed him then...