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Understanding the Distributive Property in Mathematics

Learn how the distributive property simplifies expressions and multiplies polynomials. Practice exercises included for better understanding.

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Understanding the Distributive Property in Mathematics

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  1. Section 2.7 The Distributive Property

  2. Distributive Property The distributive property is a property of numbers that allows multiplication to distribute over addition and/or subtraction. If a, b, and c are any real numbers, then: 1. a(b + c) = ab + ac 2. a(b – c) = ab– ac

  3. Exercise 1 Use the distributive property to simplify the following: 1. 2. 3.

  4. Exercise 1 Use the distributive property to simplify the following: 1. 2. 3.

  5. Multiplying Polynomials Multiplying polynomials is just using the distributive property repeatedly and then combining like terms.

  6. Exercise 2 Multiply the following polynomials: 1. 2.

  7. Exercise 2 Multiply the following polynomials: 1. 2.

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