The expression you provided is:

\[
\frac{x + 4}{x^2 - 49}
\]

To simplify this, notice that the denominator \(x^2 - 49\) is a difference of squares, which can be factored as:

\[
x^2 - 49 = (x - 7)(x + 7)
\]

So, the expression becomes:

\[
\frac{x + 4}{(x - 7)(x + 7)}
\]

This is the simplified form of the given expression, though it cannot be simplified further unless additional values for \(x\) are provided.

Would you like more details on how to factor differences of squares or any other concepts related to this?

### Related Questions:
1. How do you simplify complex rational expressions?
2. What are the common types of factoring in algebra?
3. Can all quadratic expressions be factored, and how?
4. What happens if \(x = 7\) or \(x = -7\) in this expression?
5. How can you find vertical and horizontal asymptotes for this expression?

#### Tip:
When factoring, always look for common patterns like the difference of squares, perfect square trinomials, or greatest common factors.

Discover how to simplify the rational expression (x + 4) / (x^2 - 49) by factoring the difference of squares. This guide covers key algebraic concepts such as factoring techniques and rational expressions, ideal for students in Grades 8-10.

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