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

Yes

The spelling, meaning, and grammatical usage of "árabe" are identical in both Brazilian and European Portuguese. The only difference is in pronunciation:

• In Brazilian Portuguese, the unstressed final "e" is typically pronounced as a clear [i] sound (like the "ee" in "bee"), so the word sounds like á-ra-bi.
• In European Portuguese, unstressed final vowels are often "reduced" or nearly silent. The "e" is very short and closed, making the word sound more like á-ra-b.

Brazilian Portuguese Examples

1. Eu adoro comida árabe. (I love Arabic food.)
2. O bairro árabe é muito legal. (The Arab neighborhood is very cool.)
3. Ela fala árabe fluentemente. (She speaks Arabic fluently.)
4. Esse prato árabe é muito bom. (This Arabic dish is very good.)
5. Gostei muito da cultura árabe. (I liked the Arabic culture a lot.)

European Portuguese Examples

1. Eu adoro comida árabe. (I love Arabic food.)
2. O bairro árabe é muito giro. (The Arab neighborhood is very nice/cute.)
3. Ela fala árabe com fluência. (She speaks Arabic fluently.)
4. Este prato árabe é muito bom. (This Arabic dish is very good.)
5. Gostei muito da cultura árabe. (I liked the Arabic culture a lot.)