## anonymous one year ago Will give MEDALS! May someone please explain distributive properties to me?

1. mathstudent55

The general rules are: $$a(b + c) = ab + ac$$ Distributive property of multiplication over addition $$a(b - c) = ab - ac$$ Distributive property of multiplication over subtraction

2. mathstudent55

Here are some examples with numbers and variables to show you how it works. $$5(3 + 4) = 5 \times 3 + 5 \times 4 = 15 + 20 = 35$$ $$2(5 - 3) = 2 \times 5 - 2 \times 3 = 10 - 6 = 4$$ $$4(x + 5) = 4x + 4 \times 5 = 4x + 20$$ $$2x(4x - y) = (2x)(4x) - (2x)(y) = 8x^2 - 2xy$$

3. anonymous

How exactly do I do it? Do you think you could break it down for me?

4. mathstudent55

Do you have a specific problem or a question with an example?

5. mathstudent55

The idea is multiply the number outside the parentheses by the two numbers inside the parentheses. |dw:1441820999765:dw|

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