Factor 16d - 12 using the GCF.
that is rong :(
To factor 16d - 12 using the greatest common factor (GCF), we need to find the greatest common factor of the two terms, 16d and 12.
First, let's find the prime factors of each term:
For 16d:
16 = 2^4
d = d^1
For 12:
12 = 2^2 * 3^1
Next, we find the common factors and their exponents:
The common factors are 2^2 and d^0 (since d does not appear in 12).
Therefore, the GCF of 16d and 12 is 2^2, which is 4.
Now, we can factor out the GCF from both terms:
16d - 12 = 4 * (4d - 3)
So, the factored form of 16d - 12 using the GCF is 4(4d - 3).
To factor 16d - 12 using the Greatest Common Factor (GCF), we need to find the largest common factor of the terms 16d and 12.
Step 1: Determine the factors of each term.
16d: The factors of 16 are 1, 2, 4, 8, and 16. Since there is a "d" attached to 16, we can also include "d" as a factor, making the factors of 16d: 1, 2, 4, 8, 16, d, 2d, 4d, 8d, 16d.
12: The factors of 12 are 1, 2, 3, 4, 6, and 12.
Step 2: Find the common factors.
Looking at the factors of 16d and 12, we find that the only common factor they have is 4.
Step 3: Write the factored expression.
To factor out the GCF of 4, we divide each term by 4:
16d/4 = 4d,
12/4 = 3.
Therefore, the factored form of 16d - 12 using the GCF is:
4(4d - 3).
To factor 16d - 12 using the greatest common factor (GCF), we need to find the largest number or expression that divides evenly into both terms.
The GCF of 16 and 12 is 4, because 4 is the largest number that divides evenly into both 16 and 12.
Similarly, the GCF of d and 1 is 1, because 1 is the largest number or expression that divides evenly into both d and 1.
Therefore, the GCF of 16d and 12 is 4d, because 4d is the largest expression that divides evenly into both 16d and 12.
We can now factor out the GCF from the given expression to get:
16d - 12 = 4d(4) - 4d(3) = 4d(4 - 3) = 4d(1)
Therefore, the expression 16d - 12 can be factored as 4d(1) or simply 4d.
Apologies for the confusion. Let's try again.
To factor 16d - 12 using the GCF, we need to find the largest common factor of the terms.
The GCF of 16d and 12 is 4, because 4 is the largest number that divides evenly into both 16d and 12.
Now, we can factor out the GCF from the given expression:
16d - 12 = 4(4d - 3)
Therefore, 16d - 12 can be factored as 4(4d - 3).