Is that business is (countable) a specific commercial enterprise or establishment while biz is (slang) business. Biz is sometimes used to refer to the entertainment business, especially pop music or films. See examples of biz used in a sentence.
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Is of, to, pertaining to or utilized for purposes of.
In modern usage, 'biz' is commonly employed in casual conversations, particularly.
Idiom be the biz (definition of biz from the cambridge advanced learner's dictionary & thesaurus © cambridge university press) It typically refers to the commercial aspect of activities that involve trade, services, or any economic exchanges.