Here's a breakdown:
* Broaden: "Broad" is the adjective meaning "wide or extensive." Adding "-en" makes it a verb meaning "to make wider or more extensive."
* Widen: "Wide" is the adjective meaning "having a great distance from side to side." Adding "-en" makes it a verb meaning "to make wider."
* Hasten: "Hasty" is the adjective meaning "hurried or quick." Adding "-en" makes it a verb meaning "to make quicker or more hurried."
Essentially, "-en" transforms a descriptive word (adjective) into a word that describes an action or process (verb).