Will give MEDALS!
May someone please explain distributive properties to me?

Question

Will give MEDALS!
May someone please explain distributive properties to me?

mathstudent55 · Answer

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

mathstudent55 · Answer

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

liciagrl911 · Answer

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

mathstudent55 · Answer

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

mathstudent55 · Answer

The idea is multiply the number outside the parentheses by the two numbers inside the parentheses.
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