Factor 16d-12 using GCF
To factor 16d - 12 using the greatest common factor (GCF), we first identify the common factors of both terms. The GCF of 16 and 12 is 4.
Next, we rewrite 16d and -12 in terms of their GCF:
16d = 4 * 4d
-12 = 4 * -3
Now, we can factor out the GCF:
16d - 12 = 4 * 4d - 4 * 3
= 4(4d - 3)
Therefore, the factored form of 16d - 12 using the GCF is 4(4d - 3).
To factor the expression 16d-12 using the greatest common factor (GCF), we need to find the largest common factor shared by both terms.
Step 1: Find the GCF of the coefficients
The coefficients of the terms are 16 and -12. The GCF of 16 and -12 is 4, since 4 is the largest number that divides both 16 and 12 evenly.
Step 2: Look for the common variable
The variable in both terms is "d". Since "d" is common to both terms, we include it in our factoring.
Step 3: Write the GCF and variable as a factor
The GCF of 16 and -12 is 4, and the common variable is "d". Hence, we can write the GCF and variable as a factor: 4d.
Step 4: Divide each term by the GCF
Divide both terms by the GCF (4d) to complete the factoring.
16d ÷ 4d = 4
-12 ÷ 4 = -3
Step 5: Write the factored expression
The factored expression is 4d(4 - 3), which simplifies to 4d(1) or simply 4d.
Therefore, 16d-12 can be factored as 4d.
To factor the expression 16d-12 using the greatest common factor (GCF), we first need to find the greatest common factor of the coefficients 16 and 12.
The prime factorization of 16 is 2 * 2 * 2 * 2, and the prime factorization of 12 is 2 * 2 * 3.
The common factors are 2 * 2, which is 4.
Next, we look for the greatest common factor in the variable terms. In this case, the variable is d. Since both terms have a d, the greatest common factor is d.
Therefore, the GCF of 16d and -12 is 4d.
Now, we can factor out the GCF from the expression 16d-12:
16d - 12 = 4d * 4 - 4 * 3
= 4d(4 - 3)
= 4d(1)
So, 16d-12 can be factored as 4d(1) or simply 4d.