Which word means to pour out and spread freely or make widely known?

The term "diffuse" precisely captures the meaning of pouring out and spreading something freely or making it widely known. In various contexts, such as in physics or communications, to diffuse implies the distribution of something over a broad area. For example, a gas diffuses in the air by spreading out evenly throughout the space, or information can diffuse through a community as it is shared among individuals.

The other options do not fit this definition. "Emblazon" refers to displaying something prominently, often used in the context of heraldry, but does not imply the act of spreading freely. "Egregious" describes something outstandingly bad or shocking, and doesn't pertain to the idea of spreading or pouring out. Lastly, "edify" relates to improving someone morally or intellectually, rather than the act of dispersing or making something known to a wider audience. Thus, "diffuse" is the most accurate choice for this question.