The algebraic property demonstrated in the expression 2xy + x^2y is known as the Distributive Property.
To break it down, we can factor out the common term y from both parts of the expression:
2xy + x^2y = y(2x + x^2)
This shows how the Distributive Property allows us to combine terms by factoring out the common elements, facilitating simplification and further computations. The property is fundamental in algebra as it helps in rearranging and solving equations more efficiently.