Use properties of operations to factor 8w + 16 using the GCF. (1 point)

Question

Responses

2(4w + 8)
2 Left Parenthesis 4 w plus 8 Right Parenthesis

6(2w + 10)
6 Left Parenthesis 2 w plus 10 Right Parenthesis

4(2w + 4)
4 Left Parenthesis 2 w plus 4 Right Parenthesis

8(w + 2)

Answer 1

To factor \( 8w + 16 \) using the greatest common factor (GCF), we first need to identify the GCF of the coefficients of the terms:

The coefficients are 8 and 16. The GCF of 8 and 16 is 8.

Now, we can factor \( 8 \) out of the expression:

\[ 8w + 16 = 8(w + 2) \]

So the correct response is:

8(w + 2)