Neanderthals lived alongside Homo sapiens for thousands of years,

Yep.

yo Ms.Sue!! u don't help any >_<

and had larger brains than humans

What caused the rapid population expansion of Homo Sapiens

That's correct! Neanderthals and Homo sapiens did live alongside each other for thousands of years. Neanderthals are a distinct species of humans, known as neanderthalensis, who lived in Europe and parts of Asia from about 400,000 to 40,000 years ago. Homo sapiens, or modern humans, emerged in Africa around 300,000 years ago and eventually spread across the globe.

The evidence for Neanderthal and Homo sapiens coexistence comes from various sources such as archaeological findings and DNA analysis. Archaeological sites have revealed the presence of both Neanderthal and Homo sapiens tools and artifacts in the same areas, indicating that they inhabited the same regions at the same time. Additionally, DNA studies have shown a small percentage of Neanderthal DNA present in the genomes of non-African populations today, which suggests interbreeding between the two species.

To find more specific information about the coexistence of Neanderthals and Homo sapiens, you could explore archaeological research and studies on human evolution. This can involve reading scientific papers, books, or articles written by archaeologists, paleontologists, and geneticists who specialize in this field. Online databases and scientific journals such as Nature, Science, or the Journal of Human Evolution are good resources to use for this kind of research.