Answer:
6x(x^2 - 2x + 3)
Step-by-step explanation:
By looking at these terms, we can realize that they all have a term to do with x and are divisible by 6. So, we have our GCF, which is 6x. Now, to factor out 6x, we have to divide every term by 6x; they will all divide without a remainder because we already established they were all divisible by 6x.
So, we get the division(for each term separately):
6x^3/6x - we can cancel out 6x from the numerator and denominator to get: x^2
-12x^2/6x - we can cancel out 6x from the numerator and denominator to get: -2x
-18x/6x - we can cancel out 6x from the numerator and denominator to get:
3
When we put this together we get:
6x(x^2 - 2x + 3)
This is the final answer
