Final answer:
The Neolithic Revolution's farming way of life rapidly spread due to its benefits in sustaining larger populations and encouraging permanent settlements, which in turn fostered the diffusion of agricultural practices.
Step-by-step explanation:
The farming way of life that emerged during the Neolithic Revolution spread relatively quickly across the settled world because it allowed for the support of larger populations through the domestication of plants and animals, increased food surpluses, and labor specialization. As groups began adopting agriculture, they experienced profound social changes, transitioning from a nomadic hunter-gatherer existence to one rooted in permanent settlements. This lifestyle facilitated the spread of ideas, technologies, and innovations, further accelerating the adoption of farming methods and the development of early civilizations.