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Answer:

Distributive property

Step-by-step explanation:

The distributive property is where multiplying the sum of a group of numbers by another number will get you the same number as multiplying the numbers individually, then adding them together.

In this case, this means that adding w + 4 together, then multiplying it by 3, will get you the same number as 3w + 12, which is created by multiplying the numbers individually by 3, then adding them together.

So, this represents the distributive property.

3(w+4)=3w+12 is an example of Distributive property

A distributive property usually conforms to a distributive law where each algebraic expression has an equal variable.

For example;

  • a(b + c) = ab + ac

From the given expression

  • 3(w + 4) = 3w + 12     (this is an example of a distributive property)

Others include:

  • Associative property
  • commutative property

An associative property refers to a rearrangement method used in algebraic terms in which the solution of the variables in the bracket is not affected in the algebraic expression.

i.e.

a+ (b+c) = (a+b) + c

 

A commutative property determines the multiplication or addition of variables by just altering their order without changing the result.

i.e.  

a + b = b + a

 

Learn more about the distributive property here:  

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