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Learn how to effectively apply the distributive property, a powerful tool combining multiplication with addition and subtraction. Master the technique of multiplying each number within parentheses by the number outside the parentheses. Discover how to distribute the multiplier to all numbers inside the parentheses in different scenarios, including with multiple variables. Practice with examples to solidify your understanding.
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Distributive Property • This property combines multiplication with addition and subtraction. • To multiply a sum or difference, multiply each number within the parentheses by the number outside the parentheses. 3(2 + b)
3(2 + b) • Distribute the 3 to both numbers inside of the parentheses by multiplying. • 3(2) + 3(b) 6 + 3(b) 6 + 3b
You can use the distributive property with multiple variables: • 4(x + y) • 12(a – 3b) • 2x(x + y)
Examples: • 15(-12g + 10) -13(2 – 18r)