Answer:
4xy(3a+2b+1)
Explanation:
1) Find the Greatest Common Factor (GCF).
1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?
It is 4.
2 - What is the highest degree of
that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since a is not in every term.
3 - What is the highest degree of
that divides evenly into 12axy, 8bxy and 4xy?
It is x.
4 - What is the highest degree of
that divides evenly into 12axy, 8bxy and 4xy?
It is y.
5 - What is the highest degree of
that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since
is not in every term.
6 - Multiplying the results above,
GCF = 4xy
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
3) Simplify each term in parentheses.