WEBM is video the way browsers like it: open, royalty-free and built to stream. It was born in 2010, Google, out of its VP8 acquisition, and its real weak spot is life outside the browser: editors, TVs and Apple devices get picky.
MP4 is the world's default video: the file that plays before anyone has to think about it. A container, most often carrying H.264 or H.265 video with AAC audio. That makes it the right destination when what you need is playing everywhere: browsers, phones, TVs, editors, slide decks.