Factor 16d − 12 using the GCF.(1 point)
The GCF of 16d and 12 is 4. So, we can factor out 4 from the expression 16d - 12 as follows:
16d - 12 = 4(4d - 3)
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The factored form of 16d - 12 is 4(4d - 3).
To factor the expression 16d - 12 using the greatest common factor (GCF) method, we need to find the largest number or variable that can divide evenly into both terms.
Step 1: Identify the GCF of the coefficients (numbers) in both terms. In this case, the coefficients are 16 and 12. The common factors of 16 and 12 are 1, 2, 4, and 8, with 4 being the largest.
Step 2: Identify the GCF of the variables. In this case, there is a common variable, which is 'd'.
Step 3: Combine the GCF of the coefficients and the GCF of the variables. The GCF of 16 and 12 is 4, and the GCF of 'd' is simply 'd'.
Step 4: Write the factored expression using the GCF. The factored expression for 16d - 12 using the GCF is:
4d(4 - 3)
Therefore, the factored form of 16d - 12 using the GCF is 4d(4 - 3).
To factor 16d - 12 using the greatest common factor (GCF), we need to find the largest number or variable that can divide both terms evenly.
First, let's look for the GCF of the coefficients, which are 16 and 12.
The greatest common factor of 16 and 12 is 4 because both numbers can be evenly divided by 4:
16 ÷ 4 = 4
12 ÷ 4 = 3
Now, let's look for the GCF of the variables. In this case, we have a "d" in both terms. Since "d" is common to both terms, it can be factored out.
Putting it all together, we can factor 16d - 12 using the GCF as follows:
16d - 12 = 4 * (4d - 3)
Therefore, the factored form of 16d - 12 is 4 * (4d - 3).