Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to +4 ? $$ 4(2+6) $$ $$ 4(8+6) $$ $$ 8(1+6) $$ $$ 8(2+6) $$

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UpStudy AI · Accepted Answer

It appears there might be a slight misunderstanding in the question, but I'll address it based on the information provided.

To use the **Greatest Common Factor (GCF)** and the **distributive property** to find an expression equivalent to a given number or expression, you typically factor out the GCF from each term.

Given the options:

1. $$ 4(2 + 6) $$
2. $$ 4(8 + 6) $$
3. $$ 8(1 + 6) $$
4. $$ 8(2 + 6) $$

**Let's analyze each option:**

1. **$$ 4(2 + 6) $$**
   - Simplifies to $$ 4 	imes 8 = 32 $$
   - This expression factors out a GCF of 4 from terms that add up to 8.

2. **$$ 4(8 + 6) $$**
   - Simplifies to $$ 4 	imes 14 = 56 $$
   - This factors out a GCF of 4, but the sum inside the parentheses is 14.

3. **$$ 8(1 + 6) $$**
   - Simplifies to $$ 8 	imes 7 = 56 $$
   - This factors out a GCF of 8, with the sum inside the parentheses being 7.

4. **$$ 8(2 + 6) $$**
   - Simplifies to $$ 8 	imes 8 = 64 $$
   - This also factors out a GCF of 8, with the sum inside the parentheses being 8.

**Determining the Correct Option:**

Assuming the goal is to factor an expression correctly using the GCF and the distributive property, the most straightforward and simplest form is usually preferred.

- **Option 1: $$ 4(2 + 6) $$** simplifies to 32.
- **Option 3: $$ 8(1 + 6) $$** simplifies to 56, the same as Option 2 but with a larger GCF.
- **Option 4: $$ 8(2 + 6) $$** simplifies to 64.

If the original expression you're trying to factor is **32**, then **Option 1: $$ 4(2 + 6) $$** is the correct choice as it uses the GCF of 4 and correctly applies the distributive property.

**Final Answer:**

$$ 4(2+6) $$
$$ 4(2+6) $$

Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to +4 ? \( 4(2+6) \) \( 4(8+6) \) \( 8(1+6) \) \( 8(2+6) \)

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