It looks like you are asking about the expression:

\[
\frac{ab + 4}{ab + a}
\]

Is that correct? If so, here’s what we can do with this expression.

1. **Simplification:** 
   We can try to simplify the expression, but as it stands, the numerator \( ab + 4 \) and the denominator \( ab + a \) do not have any obvious common factors. Therefore, the expression cannot be simplified further.

2. **Factorization:**
   However, we can factor the denominator \( ab + a \) as:

   \[
   ab + a = a(b + 1)
   \]

   So, the expression becomes:

   \[
   \frac{ab + 4}{a(b + 1)}
   \]

   Unfortunately, since \( ab + 4 \) doesn't have an \( a(b + 1) \) factor, no further simplification is possible.

### Do you want more details or have any questions?

Here are 5 related questions that expand on this:

1. How do you factor polynomials efficiently?
2. Can expressions like this be simplified further using substitution?
3. What happens if \( a \) or \( b \) equals 0 in this expression?
4. How do you work with fractions that involve variables in both the numerator and denominator?
5. How would the expression change if the terms were squared?

**Tip:** Always check for common factors in both the numerator and the denominator when simplifying algebraic fractions.

Learn how to simplify the rational expression (ab + 4) divided by (ab + a). This problem explores key algebraic concepts such as factoring and rational expressions. Suitable for students in Grades 8-10.

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