'Alqama led us in the noon prayer and be offered five rak'ahs; when the prayer was complete, the people said to him: Abu Shibl, you have offered five rak'ahs. He said: No, I have not done that. They said: Yes (you said five rak'ahs). He (the narrator) said: And I was sitting in a corner among people and I was just a boy. I (also) said: Yes, you have offered five (rak'ahs). He said to me: O, one-eyed, do you say the same thing? I said: Yes. Upon this he turned (his face) and performed two prostrations and then gave salutations, and then reported 'Abdullah as saying: The Messenger of Allah (ﷺ) led us in prayer and offered five rak'ahs. And as he turned away the people began to whisper amongst themselves. He (the Holy Prophet) said: What is the matter with you? They said: Has the prayer been extended? He said: No. They said: You have in fact said five rak'ahs. He (the Holy Prophet) then turned his back (and faced the Qibla) and performed two prostrations and then gave salutations and further said: Verily I am a human being like you, I forget just as you forget. Ibn Numair made this addition:" When any one of you forgets, he must perform two prostrations."
Sahih Muslim Book 5, Hadith 121
Allah's Messenger (ﷺ) observed Tamattu' in Hajjat-ul-Wada'. He first put on Ihram for 'Umra and then for Hajj. and then offered animal sacrifice. So he drove the sacrificial animals with him from Dhu'l-Hulaifa. Allah's Messenger (ﷺ) commenced Ihram of Umra and thus pronounced Talbiya for 'Umra. and then (put on Ihram for Hajj) and pronounced Talbiya for Hajj. And the people performed Tamattu' in the company of Allah's Messenger (ﷺ). They put on Ihram for Umra (first) and then for Hajj. Some of them had sacrificial animals which they had brought with them, whereas some of them had none to sacrifice. So when Allah's Messenger (ﷺ) came to Mecca, he said to the people: He who amongst you has brought sacrificial animals along with him must not treat as lawful anything which has become unlawful for him till he has completed the Hajj; and he, who amongst you has not brought the sacrificial animals should circumambulate the House, and run between al-Safa' and al-Marwa and clip (his hair) and put off the Ihram, and then again put on the Ihram for Hajj and offer sacrifice of animals. But he who does not find the sacrificial animal, he should observe fast for three days during the Hajj and for seven days when he returns to his family. Allah's Messenger (ﷺ) circumambulated (the House) when he came to Mecca: he first kissed the corner (of the Ka'ba containing the Black Stone), then ran in three circuits out of seven and walked in four circuits. And then when he had finished the circumambulation of the House he observed two rak'ahs of prayer at the Station (of Ibrahim), and then pronounced Salaam (for concluding the rak'ahs), and departed and came to al-Safa' and ran seven times between al-Safa' and al-Marwa. After that he did not treat anything as lawful which had become unlawful till he had completed his Hajj and sacrificed his animal on the day of sacrifice (10th of Dhu'l-Hijja). and then went back quickly (to Mecca) and performed circumambulation of the House (known as tawaf ifada) after which all that was unlawful for him became lawful; and those who had brought the sacrificial animals along with them did as Allah's Messenger (ﷺ) had done
Sahih Muslim Book 15, Hadith 190