Factor -27h + 6 using the GCF
To factor the expression -27h + 6 using the greatest common factor (GCF), we need to find the largest common factor of the coefficients (-27 and 6) and variables (h).
Step 1: Find the GCF of the coefficients
The GCF of -27 and 6 is 3, as it is the largest number that divides both -27 and 6 without leaving a remainder.
Step 2: Find the GCF of the variables
The variables do not have any common factor other than 1, so h is the GCF of the variables.
Step 3: Combine the GCF of the coefficients with the GCF of the variables
The GCF of the expression is the product of the GCF of the coefficients (-27 and 6) and the GCF of the variables (h). Therefore, the GCF is 3h.
Step 4: Divide the expression by the GCF
Divide the expression -27h + 6 by the GCF, 3h, using the distributive property.
-27h + 6 = 3h * (-9) + 3h * 2
Step 5: Simplify the expression
-27h + 6 = -27h + 6
Therefore, -27h + 6 cannot be factored any further using the GCF.
To factor -27h + 6 using the greatest common factor (GCF), we first need to find the GCF of the two terms -27h and 6.
The GCF of -27h and 6 is 3.
Now, we can divide each term by the GCF:
-27h ÷ 3 = -9h
6 ÷ 3 = 2
So, -27h + 6 can be written as 3(-9h + 2).
To factor the expression -27h + 6 using the greatest common factor (GCF), we need to find the largest term that divides both -27h and 6. The GCF of -27h and 6 is 3.
First, we can factor out the GCF 3 from both terms:
-27h + 6 = 3(-9h + 2)
Therefore, -27h + 6 factors as 3(-9h + 2).