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

No

While the spelling, meaning, and grammatical conjugation of "ajudam" are identical in both Brazilian and Continental Portuguese, the answer is No because there are significant differences in typical usage (syntax) and pronunciation.

• Usage (Syntax): The primary difference lies in how the word interacts with object pronouns. In Brazilian Portuguese, it is natural and standard to use proclisis (placing the pronoun before the verb), such as "me ajudam." In Continental Portuguese, enclisis (placing the pronoun after the verb) is the standard and natural way to speak, such as "ajudam-me."
• Pronunciation: In Brazilian Portuguese, the vowels are generally more open and the rhythm is more melodic. In Continental Portuguese, vowels are often "reduced" or swallowed, making the unstressed "u" much more subtle or nearly silent, and the overall cadence is more stress-timed.

Brazilian Portuguese Examples

1. Eles me ajudam muito no trabalho. (They help me a lot at work.)
2. As ferramentas me ajudam a consertar o carro. (The tools help me fix the car.)
3. Vocês me ajudam com essa sacola? (Do you all help me with this bag?)
4. Me ajudam a entender essa matéria? (Do they help me understand this subject?)
5. Me ajudam a limpar a casa hoje? (Do they help me clean the house today?)

Continental Portuguese Examples

1. Eles ajudam-me muito no trabalho. (They help me a lot at work.)
2. As ferramentas ajudam-me a reparar o carro. (The tools help me repair the car.)
3. Ajudam-me com essa mala? (Do they help me with this suitcase?)
4. Ajudam-me a compreender esta matéria? (Do they help me to understand this subject?)
5. Ajudam-me a limpar a casa hoje? (Do they help me clean the house today?)