Learn English – What’s the difference among “extinguish fire”, “fight the fire” and “put out fire”

The sentence "Don't fight me" suggests a physical fight and the sentence Don't fight with me suggests a non-physical fight such as an argument, I would usually say Don't argue with me to make it more explicit although Don't fight with me is also a valid phrase.

Although the two expressions overlap, there are many occasions when one fits better than the other.

For example, we tend:

to try a new drink/food/route/experiment/method

in the sense of seeing whether we like it or it offers us a solution.

to try out a new vehicle/appliance/item of sports equipment

in the sense of testing it.

to try on a new coat/hat/shoes

to see whether it/they fit.

but much of the time, both try and try out will do.