Justin Kluivert, Dango Ouattara and Antoine Semenyo scored for the Cherries.
Argyle are bottom of the Championship.
Nottingham Forest beat Luton 2-0 in repeat of the 1959 FA Cup final and result while Brighton cruised past Norwich and Bournemouth thrashed West Brom
The boss made 11 changes to his starting XI for the FA Cup third-round tie with managerless Luton.