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Understanding the Distributive Property: Simplifying Expressions Step by Step

Dive into the Distributive Property with this comprehensive guide to simplifying expressions. Learn how to multiply sums and differences by applying the principle of distributing a number outside the parentheses to each term inside. Explore various examples, including expressions like 3(2x + 6) and (x + 2)3, to improve your algebra skills. This tutorial emphasizes clarity and step-by-step explanations, ensuring you grasp the concept thoroughly while practicing essential problem-solving techniques.

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Understanding the Distributive Property: Simplifying Expressions Step by Step

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  1. Distributive Property

  2. To multiply a sum or difference, multiply each number within the parentheses by the number outside the parentheses. 3(2x + 6) = 3(2x) + 3(6) = 6x+18 (x + 2)3 = x(3) + 2(3) = 3x+6 6(7x – 4) = 6( 7x) – 6( 4) = 42x-24 (3x – 1)6 = 3x( 6) -1( 6 ) =18x-6

  3. -9(2 – 8y) = =-9( 2) – (-9)( 8y) Distributive Property. = -18 - (-72y) Multiply = -18+ 72y Simplify (5m + 6)11 = 5m(11) + 6(11) = 55m+ 66

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