"Would you mind ___ing?" is a polite way to ask someone to do something.

Use it when you expect the listener to say "yes" to your request. You can use "Would you mind" in lots of different situations: with friends, at work, etc.

Here are several examples of "Would you mind...":

“Excuse me. Would you mind watching over my stuff for me for just a minute?”

“Would you mind covering for me while I'm out?”

“Baby, would you mind giving me a hand with this?”