Answer:
Expression 1: x^2 - 4y^2
This expression is a difference of squares. It can be factored as (x - 2y)(x + 2y). This means that the original expression can be written as the product of two binomials: (x - 2y)(x + 2y).
Expression 2: x^2 + xy - 2y^2
This expression cannot be factored easily. However, it is a quadratic expression since it has an x^2 term. We can also rewrite it in descending order of powers: x^2 - 2y^2 + xy.