Information from Pressbooks
Here is an excerpt from an email Steel sent out explaining the difference between PB LaTeX and Quick LaTeX in Pressbooks:
“When it comes to mathematical notation in Pressbooks, we support a variety of methods. These are described in detail in our guide here: Equations and formulas. PB LaTeX and Quick LaTeX are two similar ways of including LaTeX expressions into our WYSIWYG editor and publishing accessible mathematical notation in a webbook (or offline export). PB LaTeX is part of Pressbooks core and Quick LaTeX is an open source plugin. As Hugh noted in a previous email, we think that WP QuickLaTeX is usually the better option for rendering LaTeX (biggest reasons: it provides clearer images, renders more quickly, and provides more customization options). With Quick LaTeX, book admins have a number of configurable options, but mathematical expressions are represented in the output as images (as either SVG or PNG files) with automatically generated alt tags (for accessibility). Users on our EDU offerings and Pressbooks.com (flavors #1 and #3) can activate this plugin directly in their books. Users who self-host (flavor #2) can install and configure the plugin themselves. You can see an example of LaTeX output in a Pressbook webbook in this old user guide we wrote at UW-Madison: https://wisc.pb.unizin.org/pressbooks101/chapter/latex/.”