Cher vs. coûteux

In French, the words 'cher' and 'coûteux' both translate into English as 'expensive', but they are used in different contexts and have slightly different connotations.

Cher

The word 'cher' is widely used in everyday French. It can be used to describe things of high price, but it also carries a sense of value, affection, or emotional worth. It is often used in a broader range of contexts than 'coûteux'.
Cette montre est très chère.
(This watch is very expensive.)
Je tiens à ces moments, ils me sont très chers.
(I cherish these moments; they are very dear to me.)

Coûteux

The word 'coûteux' strictly refers to a high monetary cost. It lacks the emotional connotation and is typically used in formal situations or to emphasize the high cost from an economic point of view.
Le projet s'est avéré plus coûteux que prévu.
(The project turned out to be more costly than expected.)
Les réparations vont être coûteuses.
(The repairs are going to be expensive.)

Summary

'Cher' and 'coûteux' both mean 'expensive', but 'cher' can express emotional value and is more widely used, while 'coûteux' focuses on the financial aspect and is generally more formal.