To simplify (5x^2 + 10y^2)^2 using the distributive property, we need to expand the expression.
Using the distributive property, we multiply each term inside the parentheses by each term outside the parentheses:
(5x^2 + 10y^2)^2 = (5x^2)^2 + 2(5x^2)(10y^2) + (10y^2)^2
Simplifying further:
(5x^2 + 10y^2)^2 = 25x^4 + 100x^2y^2 + 100y^4