Use properties of operations to factor 8w+16 using GCF.(1 point) Responses 4(2w+4) 4 times open paren 2 w plus 4 close paren 8(w+2) 8 times open paren w plus 2 close paren 6(2w+10) 6 times open paren 2 w plus 10 close paren 2(4w+8)

1 answer

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

The terms are \(8w\) and \(16\).

  • The GCF of \(8\) and \(16\) is \(8\).

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

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

So the correct answer is:

\[ 8(w + 2) \quad \text{or} \quad 8 \text{ times open paren } w \text{ plus } 2 \text{ close paren} \]

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