Use properties of operations to factor 8w+16

Question

using GCF.(1 point)
Responses

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

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

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

2(4w+8

Answer 1

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

Now we can factor out the GCF from the expression:

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

So, the correct response is:

8(w + 2)

This corresponds to the option:

8(w + 2)

The other options do not correctly represent the factorization of \(8w + 16\) using the GCF.