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

Yes.

The word "precisam" is identical in spelling, meaning, and grammatical function in both Brazilian and Continental Portuguese. The differences are strictly phonetic. In Brazilian Portuguese, the vowels are generally more open and the pronunciation is more melodic. In Continental Portuguese, the vowels are more closed or reduced (for example, the "e" in "precisam" often sounds much more like an "i"), and the rhythm is more stress-timed, meaning unstressed vowels are almost swallowed.

Brazilian Portuguese Examples:

1. Eles precisam de ajuda com o cachorro. (They need help with the dog.)
2. As crianças precisam de um celular. (The children need a cell phone.)
3. Eles precisam de um ônibus para chegar. (They need a bus to arrive.)
4. As pessoas precisam de um trem. (People need a train.)
5. Eles precisam de um esporte. (They need a sport.)

Continental Portuguese Examples:

1. Eles precisam de ajuda com o cão. (They need help with the dog.)
2. As crianças precisam de um telemóvel. (The children need a cell phone.)
3. Eles precisam de um autocarro para chegar. (They need a bus to arrive.)
4. As pessoas precisam de um comboio. (People need a train.)
5. Eles precisam de um desporto. (They need a sport.)