This is the 17973rd most frequent Polish word.
śmiechem
The Polish word "śmiechem" means "with laughter" in English.
Here, 'śmiechem' is again in the instrumental case, showing the means used to start the speech.
Rozpoczął przemowę śmiechem, zaskakując słuchaczy.
He started the speech with laughter, surprising the audience.
In this case, 'śmiechem' demonstrates the manner in which he attempted to conceal his embarrassement, functioning in the instrumental case.
Śmiechem próbował ukryć swoje zakłopotanie.
He tried to hide his embarrassment with laughter.
The word 'śmiechem' is used here as an instrumental case form of 'śmiech,' indicating the means ('with laughter') by which the reaction occurred.