Question

Use properties of operations to factor 8w + 16
8
𝑤

+

16
using the GCF. (1 point)
Responses

4(2w + 4)
4
(
2
𝑤

+

4
)
4 Left Parenthesis 2 w plus 4 Right Parenthesis

8(w + 2)
8
(
𝑤

+

2
)
8 Left Parenthesis w plus 2 Right Parenthesis

2(4w + 8)
2
(
4
𝑤

+

8
)
2 Left Parenthesis 4 w plus 8 Right Parenthesis

6(2w + 10)
6
(
2
𝑤

+

10
)
6 Left Parenthesis 2 w plus 10 Right Parenthesis

Answer 1

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

1. The coefficients are 8 and 16. The GCF of 8 and 16 is 8.
2. We can factor out the GCF from the expression:

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

So the correct factored form of \(8w + 16\) using the GCF is:

\[
8(w + 2)
\]

Therefore, the response is:

**8(w + 2)**