popularize, popularise, vulgarize, vulgarise, generalize, generalise -- (cater to popular taste to make popular and present to the general public; bring into general or common use; "They popularized coffee in Washington State"; "Relativity Theory was vulgarized by these authors")
vulgarise, vulgarize -- (debase and make vulgar; "The Press has vulgarized Love and Marriage")
vulgarize, vulgarise -- (act in a vulgar manner; "The drunkard tends to vulgarize")