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

Responses

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

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

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

6(2w + 10)

1 answer

To factor the expression \( 8w + 16 \) using the greatest common factor (GCF), we first find 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 out the GCF from the expression:

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

So the correct response is:

8(w + 2).