What does -아/어 주세요 and -아/어 주시겠어요 Mean in Korean?

Verbs-아/어 주세요 or  Verbs-아/어 주시겠어요expresses a request to someone to perform an action and corresponds to ‘please/would you’ in English. -아/어 주시겠어요 is a more polite expression that shows more consideration for the listener than -아/어 주세요. When the recipient of the action is someone higher in status than the speaker or someone to be respected, -아/어 드리세요 is used.

When the verb stem ends in 아, 오, -아 주세요/주시겠어요is used. Otherwise -어 주세요/주시겠어요? is used. For verbs that end in 하다， the form changes to -해 주세요/주시겠어요?

사다 + -아 주세요 -> 사 주세요

찍다 + -어 주세요 -> 찍어 주세요

청소하다 -> 청소해 주세요

Example:

문 좀 닫아 주세요. Please close the door.

사진 좀 찍어 주시겠어요? Would you please take our picture?

자리를 안내해 드리세요.Please show her to a seat.

A:저 좀 도와 주시겠어요? Excuse me. Could you please help me out?

B:네, 뭘 도와 드릴까요? Sure. How may I help you?