https://r2.erweima.ai/mathbot/image/1723124341959qqsj9cp4.jpg

The expression in the image is:

\[
\frac{8x + 16}{4}
\]

To simplify this expression, we can factor out the greatest common factor (GCF) from the numerator and then divide by the denominator.

### Step 1: Factor the numerator
The GCF of \(8x\) and \(16\) is \(8\), so we can factor \(8\) out:

\[
\frac{8(x + 2)}{4}
\]

### Step 2: Simplify the fraction
Now, divide both the numerator and the denominator by \(4\):

\[
\frac{8(x + 2)}{4} = 2(x + 2)
\]

So, the expression in its simplest form is:

\[
2(x + 2)
\]

Would you like more details on this simplification, or do you have any other questions?

Here are some related questions:
1. How would the expression change if the denominator was a different number, such as 8?
2. What is the significance of factoring in simplifying algebraic expressions?
3. How can we simplify an expression like \(\frac{12x + 18}{6}\)?
4. How do you simplify a fraction when the numerator is a polynomial and the denominator is a monomial?
5. What happens if the numerator is not factorable by the denominator?
6. How can we apply the distributive property to the simplified expression \(2(x + 2)\)?
7. How would you simplify a similar expression with subtraction, such as \(\frac{10x - 20}{5}\)?
8. What would the expression look like if it were expanded back out from its simplest form?

**Tip:** Always check for common factors in both the numerator and denominator when simplifying algebraic fractions; this makes the simplification process more straightforward.

Learn how to simplify the algebraic expression 8x + 16 / 4 step-by-step with clear explanations. Understand the importance of factoring and dividing fractions in algebraic expressions. Suitable for Grades 7-9.

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