Polite requests and offers: Can I...? Could you...? Would you like...? Shall I...?
Modal + subject + verb? (requests) / Modal + I + verb? (offers)
Would you mind not + -ing? (polite negative request)
Can/Could/Would you...? Shall I...? Would you like...?
💡 Could is more polite than can. Would you mind + -ing is very polite.
✓Could you help me, please?
✗Could you to help me?
Base verb after modal (no 'to').
✓Would you like some tea?
✗Do you like some tea?
Would you like for offers.
✓Shall I open the window?
✗Will I open the window?
Shall I for offers (British).