Factor 9z + 18 using the GCF
the answer is 9(z+2)
trust me i thought it was just nine lol
The GCF (Greatest Common Factor) for 9z and 18 is 9.
To factor out the GCF, we divide each term by 9, which gives us:
9z/9 + 18/9
This simplifies to:
z + 2
Therefore, the factored form of 9z + 18 is 9(z + 2).
what is the asnwer
The answer is 9(z + 2).
To factor the expression 9z + 18 using the greatest common factor (GCF), we first need to find the GCF of the two terms (9z and 18).
Step 1: Identify the common factors of 9z and 18:
The factors of 9z are 1, 3, 9, z, and 9z.
The factors of 18 are 1, 2, 3, 6, 9, and 18.
Step 2: Determine the greatest common factor:
The greatest common factor of 9z and 18 is 9.
Step 3: Divide each term by the GCF:
Dividing 9z by 9 gives z.
Dividing 18 by 9 gives 2.
Therefore, the expression 9z + 18, factored using the GCF, is:
9z + 18 = 9(z + 2)
To factor an expression using the Greatest Common Factor (GCF), we need to identify the largest common factor of all the terms in the expression.
In the given expression 9z + 18, we can see that both terms have a common factor of 9. Additionally, both terms have a common factor of z.
Let's break down the expression and factor out the GCF:
9z + 18
Step 1: Identify the GCF of the numerical coefficients (numbers).
In this case, the GCF of 9 and 18 is 9.
Step 2: Identify the GCF of the variables (in this case, z).
Both terms have z as a variable, so the GCF of z is z.
Step 3: Factor out the GCF from each term.
9z can be expressed as 9 * z, and 18 can be expressed as 9 * 2.
So, applying the factoring, we get:
9z + 18 = 9 * z + 9 * 2
Step 4: Simplify the expression.
We can now factor out the GCF, which is 9:
9z + 18 = 9(z + 2)
Therefore, the fully factored expression is 9(z + 2).