Use properties of operations to factor 8w + 16 using the GCF. (1 point)
Responses
6(2w + 10)
6 Left Parenthesis 2 w plus 10 Right Parenthesis
8(w + 2)
8 Left Parenthesis w plus 2 Right Parenthesis
2(4w + 8)
2 Left Parenthesis 4 w plus 8 Right Parenthesis
4(2w + 4)
4(2w + 4)
To factor 8w + 16 using the GCF (Greatest Common Factor), we first need to find the GCF of the two terms. In this case, the GCF of 8w and 16 is 8.
Next, we can rewrite 8w + 16 as the product of the GCF and the sum of the remaining factors. The remaining factors are (w) and (2), so the factored form is:
8(w + 2)
Thus, the correct answer is 8(w + 2).
To factor 8w + 16 using the Greatest Common Factor (GCF) and properties of operations, follow these steps:
Step 1: Find the GCF of the coefficients, which in this case is 8 and 16. The GCF of 8 and 16 is 8.
Step 2: Divide each term by the GCF, which is 8. Divide 8w by 8 to get w and divide 16 by 8 to get 2.
Step 3: Rewrite the expression using the GCF and the quotients from step 2. The result is 8w + 16 becomes 8(w + 2).
Therefore, the correct answer is 8(w + 2).