Answer:
4(xy + w + z)
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)