Regular expressions (regex) are text strings that describe search patterns to match or find other strings or sets of strings. They are useful for tasks like syntax highlighting, find and replace, text searching, and programming. The document discusses various regex constructs like single/multiple characters, word groups, quantifiers, grouping, greedy/lazy matching, lookahead/behind, and provides examples of using regex in C# and Linux tools. It notes pros of regex like flexibility and expressing complex patterns concisely, but also cons like difficulty of reading and debugging complex patterns.