French phrase
Auriez-vous l'amabilité de ~ ?
Meaning
Would you be so kind as to ___?
When to use it
A very polite way to make a request. It is used in formal situations and conveys an appeal to the listener's goodwill.
Example dialogue
Auriez-vous l'amabilité de m'envoyer le fichier par e-mail ?
Would you be so kind as to email me the file?
Bien sûr, je vous l'envoie ce soir.
Of course, I will send it to you this evening.