Final answer:
The distributive property is expressed as A(B + C) = AB + AC, and it is used to simplify expressions by multiplying each term inside the parentheses by the term outside. None of the examples provided clearly show the distributive property, but an example like 3(4 + 5) demonstrates it correctly after applying the property to become 3×4 + 3×5, which is 12 + 15.
Step-by-step explanation:
The question is asking which statement illustrates the distributive property. The distributive property allows you to multiply a sum by multiplying each addend separately and then add the products. It is mathematically expressed as A(B + C) = AB + AC. When looking at the provided examples for a correct demonstration of the distributive property, none of them are shown clearly or completely. However, based on our mathematical reference to the property, we can provide an example that illustrates it correctly. An expression like 3(4 + 5) would apply the distributive property to become 3×4 + 3×5, which simplifies to 12 + 15.
The distributive property is useful for simplifying algebraic expressions and is crucial for solving equations. Understanding this property is a fundamental part of algebra and mathematics as a whole. To recognize this property in use, look for an equation where a single term is being multiplied by a set of terms inside parentheses.
Examples of the distributive property are seen in various mathematical operations, such as expanding expressions, factoring polynomials, and simplifying equations. It is essential for students to grasp this concept to progress in mathematics.