#### Solution By Steps

***Step 1: Distribute 5x^2 into (2y + 5)***

This results in 10x^2y + 25x^2.

***Step 2: Distribute 10x^2 into (y + 25)***

This results in 10x^2y + 250x^2.

#### Final Answer

5x^2(2y + 5) is equivalent to 10x^2y + 25x^2.

#### Key Concept

Distributive Property

#### Key Concept Explanation

The distributive property allows us to multiply a single term or number by two or more terms inside parentheses. It is a fundamental property in algebra that simplifies expressions by distributing the multiplication across all terms inside the parentheses.