よろしくお願いします
Meanings
1
please treat me well; I look forward to working with you; please remember me
Used when meeting someone for the first time, starting a new relationship, or asking for future cooperation. Conveys a polite request for goodwill.
Nice to meet you, I'm Tanaka. I look forward to working with you.
I'll be in your care starting tomorrow. Please treat me well.
2
please do; please take care of
Used when making a request or entrusting something to someone, often with a specific task implied. Softer than a direct command.
Please submit these documents by tomorrow. I'm counting on you.
Please take care of receiving the package.