Question

9m^2-4n+12 factor out gcf

Answer 1

To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, let's first identify the GCF of the coefficients. In this case, the GCF of 9, -4, and 12 is 1 since there is no common factor greater than 1.

Next, we'll factor out the GCF from each term:

9m^2 = (9)(m^2)

-4n = (-4)(n)

12 = (12)(1)

Now we can rewrite the expression factoring out the GCF:

9m^2 - 4n + 12 = (1)(9m^2) + (1)(-4n) + (1)(12)

Simplifying this, we get:

9m^2 - 4n + 12 = 9m^2 - 4n + 12

Since there is no common factor other than 1, the expression cannot be further factored.

Answer 2

Answer: 9m^2 - 4n + 12

Explanation:

To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, we need to find the largest common factor of all the terms.

Let's examine each term individually:

9m^2: The only common factor between 9 and m^2 is 1.

-4n: The only common factor between -4 and n is 1.

12: The factors of 12 are 1, 2, 3, 4, 6, and 12. However, there is no common factor between 12 and the other terms.

Since there is no common factor other than 1, we cannot factor out anything more significant than 1. Therefore, the factored form of the expression 9m^2 - 4n + 12 is simply the original expression itself: