The image contains a mathematical expression that appears to be a multiplication of two rational expressions. Let's break it down and simplify the expression:

$\frac{5x - 10}{2x + 3} \cdot \frac{4x + 6}{x^2 - 4}$

Steps:

1. Factor the numerators and denominators:
   • $5x - 10$ can be factored as $5(x - 2)$.
   • $4x + 6$ can be factored as $2(2x + 3)$.
   • $x^2 - 4$ is a difference of squares and can be factored as $(x - 2)(x + 2)$.

So the expression becomes: $\frac{5(x - 2)}{2x + 3} \cdot \frac{2(2x + 3)}{(x - 2)(x + 2)}$

2. Cancel out common terms:
   • $x - 2$ appears in both a numerator and a denominator, so it cancels out.
   • $2x + 3$ appears in both a numerator and a denominator, so it cancels out.

After canceling out the common factors, we're left with: $\frac{5 \cdot 2}{x + 2}$

3. Simplify the expression: The expression simplifies to: $\frac{10}{x + 2}$

This is the final simplified form of the given expression.

Would you like more details or have any other questions related to this problem?

Here are 5 related questions:

1. How do you factor a difference of squares like $x^2 - 4$?
2. What are the rules for canceling terms in rational expressions?
3. How do you factor a binomial like $4x + 6$?
4. What is the concept of equivalent fractions in rational expressions?
5. How would you handle more complex expressions with multiple variables?

Tip: Always check for common factors between the numerator and denominator before performing any multiplication or division with rational expressions to simplify the process.