Which property allows for simplification of expressions like ab + ac?

Study for the TExES Mathematics 4-8 Test. Practice with flashcards and multiple choice questions. Assess your knowledge to prepare effectively and excel in your exam!

The Distributive property is the correct choice for simplifying expressions like ab + ac. This property states that when you have an expression where a common factor appears in multiple terms, you can factor that common element out. In this case, both terms in the expression ab + ac share a common factor of 'a'. By applying the Distributive property, you can factor out 'a' to rewrite the expression as a(b + c). This simplifies the expression and highlights the relationship between the terms more clearly.

Understanding the Distributive property is essential in algebra as it allows for easier manipulation of expressions and is fundamental in solving equations. It is frequently used to combine like terms, expand expressions, and simplify calculations.

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