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The image asks to find the LCD (Least Common Denominator) of two rational expressions: 

\[
\frac{3}{x - 2} \quad \text{and} \quad \frac{1}{x + 3}
\]

### Steps to Find the LCD:

1. **Identify the denominators**:
   - The first denominator is \( x - 2 \).
   - The second denominator is \( x + 3 \).

2. **Find the Least Common Denominator (LCD)**:
   Since the denominators are \( x - 2 \) and \( x + 3 \), the least common denominator is simply the product of the two distinct factors.

Thus, the LCD is:
\[
(x - 2)(x + 3)
\]

This expression represents the least common denominator of the two rational expressions.

Would you like further explanation on how this LCD will be used in further calculations or any additional questions?

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**Related questions:**
1. How do you find the LCD for rational expressions with more complex denominators?
2. What happens if one or both denominators were factorizable?
3. How can you simplify rational expressions after finding the LCD?
4. How do you add rational expressions with different denominators?
5. What is the difference between the LCD and LCM (Least Common Multiple)?

**Tip**: When finding the LCD of rational expressions, always check if the denominators can be factored further to ensure accuracy.

Find the LCD of \( \frac{3}{x-2} \) and \( \frac{1}{x+3} \)

Learn how to find the least common denominator (LCD) of the rational expressions \( \frac{3}{x-2} \) and \( \frac{1}{x+3} \). This problem covers algebraic concepts related to rational expressions and finding the LCD, making it suitable for students in Grades 9-11.

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