TDD and BDD are software testing methodologies. TDD focuses on writing unit tests before code and uses a red-green-refactor cycle. BDD expands on TDD with a focus on defining desired behaviors in business-friendly language to improve collaboration between teams. Key benefits of BDD include stronger collaboration, improved visibility, a shared language, and ensuring software meets business needs. BDD tools like Cucumber use a Given/When/Then syntax to define scenarios in plain text.