This is the 52nd most frequent German word.
neue
"Neue" means "new" in English.
The word 'neues' is an adjective here and agrees with the grammatical gender, number, and case of the noun 'Buch' (neuter, singular, accusative).
Ich habe ein neues Buch gekauft.
I bought a new book.
The word 'neues' modifies 'Haus' (neuter, singular, accusative) and refers to the house being different or recently constructed.
Wir ziehen in ein neues Haus.
We are moving into a new house.
The word 'neuen' describes 'Möglichkeiten' (plural, accusative), showcasing its function in a compound noun.