Regular expressions provide a concise and flexible means of matching text patterns through the use of special characters and syntax rules. A regular expression is written in a formal language and can be interpreted by a regular expression processor to find matches within strings. Common operations include matching characters, words, whitespace, line positions, repetition of characters, character sets and ranges, and extracting matched substrings. Regular expressions are implemented in various programming languages through modules that allow compilation of patterns and methods to search/find and extract matches from strings.