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

Yes

The spelling, meaning, and grammatical function of "escrevem" (the third-person plural present indicative of the verb escrever) are identical in both Brazilian and Continental Portuguese. The only difference is pronunciation. In Brazilian Portuguese, the unstressed "e" is often reduced to a closed "i" sound (sounding like iscrevẽ), while in Continental Portuguese, the vowel reduction is more pronounced and the phonetic rhythm of the word follows European patterns.

Brazilian Portuguese Examples

1. Eles escrevem e-mails todos os dias. (They write emails every day.)
2. As crianças escrevem no caderno. (The children write in the notebook.)
3. Eles escrevem um texto muito legal. (They write a very cool text.)
4. Os alunos escrevem no celular. (The students write on the cell phone.)
5. Eles escrevem mensagens muito rápidas. (They write very quick messages.)

Continental Portuguese Examples

1. Eles escrevem e-mails todos os dias. (They write emails every day.)
2. As crianças escrevem no caderno. (The children write in the notebook.)
3. Eles escrevem um texto muito porreiro. (They write a very cool text.)
4. Os alunos escrevem no telemóvel. (The students write on the mobile phone.)
5. Eles escrevem mensagens muito rápidas. (They write very quick messages.)