Use properties of operations to factor 8w + 16

8
𝑤

+

16
using the GCF. (1 point)
Responses

2(4w + 8)
2
(
4
𝑤

+

8
)
2 Left Parenthesis 4 w plus 8 Right Parenthesis

4(2w + 4)
4
(
2
𝑤

+

4
)
4 Left Parenthesis 2 w plus 4 Right Parenthesis

6(2w + 10)
6
(
2
𝑤

+

10
)
6 Left Parenthesis 2 w plus 10 Right Parenthesis

8(w + 2)
8
(
𝑤

+

2
)
8 Left Parenthesis w plus 2 Right Parenthesis .................................

1 answer

To factor the expression \( 8w + 16 \) using the greatest common factor (GCF), we first find the GCF of the coefficients \( 8 \) and \( 16 \). The GCF of \( 8 \) and \( 16 \) is \( 8 \).

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

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

Thus, the correct factorization of \( 8w + 16 \) is:

8(w + 2)