Question

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

Answer 1

Step-by-step explanation:

distributive property

Answer 2

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

Step-by-step explanation:

The Distributive Property is an algebraic property that says multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

This property can be stated symbolically as:

$A (B+C) = AB+AC$

Where $A$, $B$ and $C$ are three different values.

For example,  Here $3 (w+4) = 3w+12$ it can be simplified as follows,

Distribute, $3 (w+4) = 3w+12$

                      $3w+12 = 3w+12$

Subtract $12$ from both sides of the equation,

                 $3w+12 = 3w+12$

         $3w+12-12= 3w+12-12$

Subtract $3w$ from both sides of the equation,

                      $3w =3w$

               $3w-3w= 3w-3w$

                       $0=0$

$0=0$, it is true for all values.