Union
$$A \cup B =$$
{ achiever, application, audio, example, explorer, font, image, killer, message, model, multipart, socializer, text, video }
Symmetric Difference
$$A \ominus B =$$
{ achiever, application, audio, example, explorer, font, image, killer, message, model, multipart, socializer, text, video }
Cartesian Product
$$A \times B =$$
{ (application, achiever),
(application, explorer),
(application, killer),
(application, socializer),
(audio, achiever),
(audio, explorer),
(audio, killer),
(audio, socializer),
(example, achiever),
(example, explorer),
(example, killer),
(example, socializer),
(font, achiever),
(font, explorer),
(font, killer),
(font, socializer),
(image, achiever),
(image, explorer),
(image, killer),
(image, socializer),
(message, achiever),
(message, explorer),
(message, killer),
(message, socializer),
(model, achiever),
(model, explorer),
(model, killer),
(model, socializer),
(multipart, achiever),
(multipart, explorer),
(multipart, killer),
(multipart, socializer),
(text, achiever),
(text, explorer),
(text, killer),
(text, socializer),
(video, achiever),
(video, explorer),
(video, killer),
(video, socializer) }