Use properties of operations to factor 8w+16

Question

using GCF.(1 point)
Responses

8(w+2)
8 times open paren w plus 2 close paren

2(4w+8)
2 times open paren 4 w plus 8 close paren

6(2w+10)
6 times open paren 2 w plus 10 close paren

4(2w+4)

Answer 1

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

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

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

Thus, the correct response is:

8(w + 2)

or

8 times open paren w plus 2 close paren.