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What is the distributive property?

2006-11-12 12:01:28 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

The Distributive Property in ALgebra:

The Distributive Property is handy to help you get rid of parentheses.

a(b + c) = ab + ac

To multiply in algebra, you'll use the distributive law:
3x(x+4)
= 3x(x) + 3x(4)
=3x2+12x

You can use the distributive Property to multiply a polynomial by a monomial. You will expand the product of the monomial and polynomial. You can use the distributive property to divide a polynomial by a monomial. Each term is divided by the monomial. You can also use the distributive property to find the product of binomials - as shown:

(x + y)(2 + 2y)
=(x + y)(x + 2y)
=(x + y)x + (x + y)(2y)
=x2+xy +2xy 2y2
=x2 + 3xy +2y2

Let's try one more:
2y(y-3)-3y(y+2)
=2y2-6y-3y2-6y
=-y2-12y

2006-11-12 12:24:38 · answer #1 · answered by Anna Bannana 1 · 0 0

Named the 'Distributive Property (sometimes referred to as the distributive law) because in essence, you are distributing something as you separate or break it into parts. The distributive property makes numbers easier to work with. In algebra when we use the distributive property, we're expanding (distributing). .......Property Management Bendigo

2014-10-15 16:29:16 · answer #2 · answered by Anonymous · 0 0

it is where you take the outside number and multiply it to everything

3(9-2)=27-6

(3 times 9, 3 times 2)

hope it helps

2006-11-12 12:05:20 · answer #3 · answered by KingAlex 1 · 4 0

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