Translation of "Extending" in French

Thank you for extending to me such a warm welcome.

Je vous remercie de votre accueil chaleureux.

Alchemists believed that the philosopher's stone was capable of extending a person's life.

Les alchimistes croyaient que la pierre philosophale serait en mesure de prolonger la vie d'une personne.

In Anatolia, extending his rule on the peninsula, and achieving the ultimate goal of his campaign

en Anatolie, étendant son règne sur la péninsule, et atteignant le but ultime de sa campagne