This is the 15656th most frequent Polish word.
swymi
"Swymi" means "with one's own" or "with their own".
In this sentence, 'swymi' is used as an instrumental plural form of 'swój' (his/her/their own), modifying 'zdolnościom' (abilities) to mean 'with their own abilities'.
Student odnosi sukcesy dzięki swymi zdolnościom.
The student achieves success thanks to their abilities.
Here, 'swymi' is the instrumental plural form of 'swój', and it modifies 'bliskimi' (loved ones), indicating interaction or association with one's own loved ones.
Człowiek buduje więzi ze swymi bliskimi.
A person builds bonds with their loved ones.
In this instance, 'swymi' modifies 'rodziców' (parents) in the instrumental case, showing possession by the subject and its relation to their own parents.