Factor difference of two squares - The best math teacher ever

The video tutorial explains how to factor the expression 100y^6 - x^2. It begins by identifying that no common numbers can be factored out from the terms. The instructor then demonstrates how to express the expression as a product of two binomials, using the concept of the difference of two squares. The process involves selecting numbers that multiply to give the original terms and using the properties of exponents. Finally, the instructor foils the expression to show how the terms cancel out, leaving the original expression.

How does the process of foiling relate to the factoring method discussed?

What is the final expression obtained after factoring the problem?