Is the word trarei the same in Brazilian and European Portuguese?

Yes

The word "trarei" is the first-person singular future indicative of the verb trazer (to bring). There are no differences in meaning, spelling, or grammar between Brazilian and European Portuguese. The only difference is in pronunciation:

• Brazilian Portuguese: The pronunciation is generally "syllable-timed," meaning the vowels are more open, clear, and distinct.
• European Portuguese: The pronunciation is "stress-timed," which means unstressed vowels (like the "e" in trarei) are often reduced, shortened, or almost swallowed, giving the word a more clipped and rapid sound.

While "trarei" is grammatically identical in both, it is worth noting that in casual, everyday conversation, speakers in both countries often prefer the periphrastic future "vou trazer" (I am going to bring) over the simple future "trarei."

Brazilian Portuguese Examples

1. Eu trarei o lanche para você. (I will bring the snack for you.)
2. Amanhã trarei os documentos que você pediu. (Tomorrow I will bring the documents you asked for.)
3. Eu trarei uma surpresa para a festa. (I will bring a surprise to the party.)
4. Não se preocupe, eu trarei a cerveja. (Don't worry, I will bring the beer.)
5. Eu trarei o livro para você ler. (I will bring the book for you to read.)

European Portuguese Examples

1. Eu trarei o lanche para ti. (I will bring the snack for you.)
2. Amanhã trarei os documentos que pediste. (Tomorrow I will bring the documents you asked for.)
3. Eu trarei uma surpresa para a festa. (I will bring a surprise to the party.)
4. Não te preocupes, eu trarei a cerveja. (Don't worry, I will bring the beer.)
5. Eu trarei o livro para leres. (I will bring the book for you to read.)