Factor the expression completely:
\[ 2ab + 6a + 12abc \]
Answer (2)
The expression 2ab+6a+12abc can be factored by first identifying a common factor among the terms. Observing the expression, we can see that each term contains the variable 'a' and a factor of 2. Thus, the greatest common factor (GCF) is 2a. Factoring out the GCF, we obtain:
2a(b + 3 + 6bc).
Now, looking at the remaining expression inside the parentheses (b + 3 + 6bc), we do not find any further common factors among the terms. Therefore, the expression 2ab+6a+12abc is completely factored as 2a(b + 3 + 6bc).
The expression 2 ab + 6 a + 12 ab c can be factored completely by taking out the greatest common factor, which is 2 a . This leads to the factored form 2 a ( b + 3 + 6 b c ) . There are no further factors to simplify inside the parentheses.
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