Question 1

Factor the following expression using the GCF. Type your factored expression below.

4xy + 12w + 12Z

4 (xy + w + z)

Step-by-step explanation:

The expression to be factored is:

4xy + 12w + 12z

Factoring an equation involves taking out common terms from the expression that will then make it more simpler and simplified.

To solve this problem, we need to find the factors of the given terms:

4xy

12w

12z

The numbers given as coefficients of the variables are;

4 12 12

A factor is any integer that divides a number evenly;

Factors of 4 are 1, 2 and 4

12 are 1, 2,3,4,6 and 12

The common factors between 4 and 12 are those numbers that can divide both digits:

These are 1, 2, and 4, they are common to both

Now, the greatest common factor is the highest of this factors which is 4

Therefore, the greatest common factor of 12 and 4 is 4

Also, xy, w and z has no common factors

Factoring

4xy + 12w + 12z = 4 (xy + w + z)