Questions & Answers about ¿Puedo llevarme este libro a casa?
Puedo is the 1st person singular form of poder in the present tense, so it means I can or am I allowed to.
In this sentence, ¿Puedo ... ? is a very common polite way to ask for permission:
- ¿Puedo entrar? = May I come in?
- ¿Puedo sentarme? = May I sit down?
So ¿Puedo llevarme este libro a casa? is literally something like Can I take this book home?
Because llevarse is being used here, not just llevar.
- llevar = to carry, to take
- llevarse = to take away, to take with oneself
The me means for myself / with me. It shows that the speaker wants to take the book away with them.
So:
- ¿Puedo llevar este libro...? could sound more like Can I carry this book...?
- ¿Puedo llevarme este libro...? clearly means Can I take this book away / take it with me?
This is very natural in Spanish when someone is asking to borrow or remove something from a place.