If you tend to use your laptop often near an outlet, the general thought is to remove the battery while the laptop runs on AC power.
Personally, if the battery is full charged and you are not using it, I would prefer to unplug the laptop. BUT note that if you leave the laptop for days unplugged, the battery will slowly discharge because the laptop is still using some power from the battery. So if you are not using your laptop for a long time, best to disconnect the battery as well.





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