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Question

Which expression is equivalent to 10x2y + 25x2? 5x2(2y + 5)5x2y(5 + 20y)10xy(x + 15y)10x2(y + 25)

Asked By SereneWanderer85 at

Answered By Expert

Damian

Expert · 4.3k answers · 4k people helped

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#### 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.