Factor 16d - 12 using the GCF.

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Answer 1

To factor the expression \(16d - 12\) using the greatest common factor (GCF), we need to identify the GCF of the coefficients 16 and 12.

1. Find the GCF of 16 and 12:

   • The factors of 16 are 1, 2, 4, 8, 16.
   • The factors of 12 are 1, 2, 3, 4, 6, 12.
   • The common factors are 1, 2, and 4.
   • The greatest of these is 4.

2. Now, factor out the GCF, which is 4: \[ 16d - 12 = 4(4d - 3) \]

So, the factored form of \(16d - 12\) is \(4(4d - 3)\).

Answer 2

it says its wrong

Answer 3

Let's carefully re-evaluate the factoring of the expression \(16d - 12\).

1. Identify the GCF:

   • The coefficients are 16 and -12.
   • The factors of 16: \(1, 2, 4, 8, 16\)
   • The factors of 12: \(1, 2, 3, 4, 6, 12\)
   • The greatest common factor (GCF) of 16 and 12 is indeed 4.

2. Factor out the GCF:

   • We can factor out \(4\) from the expression. \[ 16d - 12 = 4(4d) - 4(3) = 4(4d - 3) \]

Thus, the factorization \(4(4d - 3)\) is indeed correct.

If the answer is indicated to be incorrect, it could be related to how the expression is checked or interpreted, but mathematically \(16d - 12 = 4(4d - 3)\) is correct.

If you have any specific criteria or format that needs to be followed, please let me know, and I'll be glad to assist!

Answer 4

okay now it says its right

Answer 5

I'm glad to hear that the factorization \(16d - 12 = 4(4d - 3)\) is now confirmed as correct!

To summarize:

1. Original Expression: \(16d - 12\)
2. GCF Calculated: \(4\)
3. Factored Form: \(4(4d - 3)\)

If you have any more questions or need further assistance, feel free to ask!

Answer 6

where did you get the number 3 from?

Answer 7

Great question! Let's break down the factoring step by step to clarify how we arrived at the number 3.

Given the expression:

\[ 16d - 12 \]

1. Identify the GCF: As noted before, the GCF of 16 and 12 is 4.

2. Factor out the GCF: To factor out 4 from the expression, we divide each term by 4:

   • The first term is \(16d\): \[ \frac{16d}{4} = 4d \]
   • The second term is \(-12\): \[ \frac{-12}{4} = -3 \]

3. Combine the factored out GCF with the new expression: So when we factor out the 4, we rewrite the expression as: \[ 16d - 12 = 4(4d - 3) \]

The \(3\) comes from dividing \(-12\) by \(4\), resulting in \(-3\).

Therefore, when we factor \(16d - 12\) into \(4(4d - 3)\), we derive that number from the division of the original second term \( -12\) by the GCF \(4\).

If you have any more questions or need further clarification, feel free to ask!

Answer 8

ok thx for the help

Answer 9

You're welcome! I'm glad I could help. If you have any more questions in the future, whether about math or anything else, don't hesitate to ask. Have a great day!