Factor the following expression completely:

2ab+6a+12abc

2a(b+3+6bc)

Thank u

To factor the expression completely, we need to find the common factors among the terms and then factor them out.

The given expression is:

2ab + 6a + 12abc

First, let's look for common factors. The term "2ab" and "6a" have a common factor of "2a". We can factor out "2a" from these terms:

2ab + 6a = 2a(b + 3)

Next, let's factor out the common factor from all three terms. The term "12abc" has a common factor of "6abc". We can factor out "6abc" from all three terms:

12abc = 6abc(2)

Now, we can rewrite the expression factored completely:

2ab + 6a + 12abc = 2a(b + 3) + 6abc(2)

Therefore, the completely factored expression is 2a(b + 3) + 6abc(2).