It was narrated from 'Alqamah bin Qais that 'Abdullah said:

"We used not to know what to say when we prayed, then the Messenger of Allah ﷺ taught us some eloquent and concise words. He said to us: 'Say: "At-tahiyyatu lillahi was-salawatu wat-tayyibat, as-salamu 'alaika ayyuhan-Nabiyyu wa rahmatAllahi wa baraktuhu. As-salamu 'alaina wa 'ala 'ibad illahis-salihin, ashahdu an la illaha ill-Allah wa ashhadu anna Muhammadan 'abduhu wa rasuluhu (Allah compliments, prayers and pure words are due to Allah. Peace be upon you, O Prophet, and the mercy of Allah (Subhanahu-wa-Taala) and his blessings. Peace be upon us and upon the righteous slaves of Allah (Subhanahu-wa-Taala). I bear witness that none has the right to be worshipped except Allah and I bear witness that Muhammad is His slave and Messenger)." (One of the narrators) 'Ubaidullah said: "Zaid bin Hammad said, narrating from Ibrahim, that 'Alqamah said: 'I saw Ibn Mas'ud teaching us these words just as he taught us the Quran."

أَخْبَرَنِي مُحَمَّدُ بْنُ جَبَلَةَ الرَّافِقِيُّ، قَالَ حَدَّثَنَا الْعَلاَءُ بْنُ هِلاَلٍ، قَالَ حَدَّثَنَا عُبَيْدُ اللَّهِ، - وَهُوَ ابْنُ عَمْرٍو - عَنْ زَيْدِ بْنِ أَبِي أُنَيْسَةَ، عَنْ حَمَّادٍ، عَنْ إِبْرَاهِيمَ، عَنْ عَلْقَمَةَ بْنِ قَيْسٍ، عَنْ عَبْدِ اللَّهِ، قَالَ كُنَّا لاَ نَدْرِي مَا نَقُولُ إِذَا صَلَّيْنَا فَعَلَّمَنَا نَبِيُّ اللَّهِ ﷺ جَوَامِعَ الْكَلِمِ فَقَالَ لَنَا " قُولُوا التَّحِيَّاتُ لِلَّهِ وَالصَّلَوَاتُ وَالطَّيِّبَاتُ السَّلاَمُ عَلَيْكَ أَيُّهَا النَّبِيُّ وَرَحْمَةُ اللَّهِ وَبَرَكَاتُهُ السَّلاَمُ عَلَيْنَا وَعَلَى عِبَادِ اللَّهِ الصَّالِحِينَ أَشْهَدُ أَنْ لاَ إِلَهَ إِلاَّ اللَّهُ وَأَشْهَدُ أَنَّ مُحَمَّدًا عَبْدُهُ وَرَسُولُهُ " . قَالَ عُبَيْدُ اللَّهِ قَالَ زَيْدٌ عَنْ حَمَّادٍ عَنْ إِبْرَاهِيمَ عَنْ عَلْقَمَةَ قَالَ لَقَدْ رَأَيْتُ ابْنَ مَسْعُودٍ يُعَلِّمُنَا هَؤُلاَءِ الْكَلِمَاتِ كَمَا يُعَلِّمُنَا الْقُرْآنَ .