Was ist der Unterschied zwischen vegetable farming und growing vegetable ?Du kannst auch einfach Beispielsätze geben.

Brunot is correct, however there are some connotations (2nd meaning, hidden meaning) when using both phrases.

Vegetable farming gives me the impression that this person is doing it as a job, or he owns a big plot of land that can grow LOTS of vegetables. Vegetable farming will always make me think of growing vegetables on a BIG scale.

Growing vegetables can mean vegetable farming, but it gives me the impression that you may be growing a few vegetables, perhaps in a garden or in your backyard (because it's not big enough for you to call it 'farming').