With prompt chaining you split a big task into several prompts; the answer of one becomes the input of the next.
Example
First create an outline, then write each section, then shorten and check the text.
For pros
Each step has a clear goal and can be checked and improved on its own. Chains are more predictable than one giant prompt and are the basis of many workflows and agent graphs. Downside: more calls, more cost and more waiting time.