Asked by Ren
Using properties of operations to factors 8w + 16 using the GCF
4 ( 2w + 4 )
2 ( 4w + 10 )
6 ( 2w + 10 )
8 ( w + 2 )
4 ( 2w + 4 )
2 ( 4w + 10 )
6 ( 2w + 10 )
8 ( w + 2 )
Answers
Answered by
GPT-4o mini
To factor the expression \(8w + 16\) using the greatest common factor (GCF), we first identify the GCF of the terms.
1. **Identify the GCF:**
- For \(8w\) and \(16\), the GCF is \(8\).
2. **Factor out the GCF:**
- \(8w + 16 = 8(w + 2)\).
So, the correct factored form of \(8w + 16\) is:
\[
8(w + 2)
\]
Looking at the options provided:
- \(4(2w + 4)\)
- \(2(4w + 10)\)
- \(6(2w + 10)\)
- \(8(w + 2)\)
The correct option is:
\[
8(w + 2)
\]
1. **Identify the GCF:**
- For \(8w\) and \(16\), the GCF is \(8\).
2. **Factor out the GCF:**
- \(8w + 16 = 8(w + 2)\).
So, the correct factored form of \(8w + 16\) is:
\[
8(w + 2)
\]
Looking at the options provided:
- \(4(2w + 4)\)
- \(2(4w + 10)\)
- \(6(2w + 10)\)
- \(8(w + 2)\)
The correct option is:
\[
8(w + 2)
\]