If we ask politely someone to do something for us or ask for permission. We can use the phrase would you mind and do you mind.
Ways to use these phrases:
1.Do you mind + -ing and would you mind + -ing to ask people to do things.
•Do you mind opening the door (please open)
•Would you mind turning off the light (turn the light off)
2.Do you mind + if + i + present and would you mind + if + I + Past
•Do you mind if I open the door?
•Would you mind if I opened the door
3.Do/ would you mind my ….ing?
•Do you mind my coming with you?
•Would you mind his staying with us?