Supplications of Wudhu' and does Ghusl eliminate the necessity for Wudhu"?

Question :

Are there any supplications which should be said upon making Wudhu', and does Ghusl eliminate the need for Wudhu"?

Answer:

It is required to say Bismillah (In the Name of Allah) before making Wudhu'. So when performing Madhmadhah or washing the hands one says: Bismillah. After making ablution, he should lift his gaze to the heavens and say: "I testify that none is worthy of worship except Allah and I testify that Muhammad is His servant and His Messenger. O Allah! Make me one of the repentant ones and make me one of the pure ones."He may also perform Kaffaratul-Majlis after performing Wudha", saying: "All glory and praise and thanks be to You, O Allah; I testify that none has the right to be worshipped except You. I ask Your Forgiveness and I turn to You in repentance." Other than what we have mentioned, there is nothing else authentic to be said at the time of ablution.

It is a Sunnah for whoever was obliged to make Ghusl, to perform a complete Wudhu' before it. Then he performs Ghusl after that, avoiding touching his penis or his private part while making Ghusl, so that his Wudhu' is not invalidated. After finishing, it is sufficient for him, without the need to repeat the Wudhu'. If he does not perform Wudhu', sufficing himself with Ghusl, and washing the parts of the body in the same order in which they are washed when making Wudhu', it will be enough for him, without making Wudhu', if Allah wills.

Source:
Ibn Jibreen
Fatawa Islamiyah, Vol. 2 Pages 47-48