4 complex fraction questions please (multiplying, dividing, subtraction and addition)

ex:

x^2-1/x+2 divided by x^2-4/x-2

Here are four complex fraction problems involving multiplication, division, subtraction, and addition of algebraic expressions:

### 1. **Multiplication of Complex Fractions:**
\[
\frac{x^2 - 1}{x + 2} \times \frac{x^2 + 3x + 2}{x^2 - 4}
\]

### 2. **Division of Complex Fractions:**
\[
\frac{x^2 - 1}{x + 2} \div \frac{x^2 - 4}{x - 2}
\]

### 3. **Subtraction of Complex Fractions:**
\[
\frac{x^2 - 1}{x + 2} - \frac{x - 3}{x + 1}
\]

### 4. **Addition of Complex Fractions:**
\[
\frac{x^2 - 1}{x + 2} + \frac{x - 3}{x + 1}
\]

Would you like detailed steps on solving these?

Here are some questions for further practice:
1. How do you simplify complex fractions involving polynomials?
2. What is the difference between multiplying and dividing rational expressions?
3. How do you find a common denominator in complex fractions with different polynomials?
4. What are the key steps in adding fractions with different denominators?
5. Can you explain how factoring polynomials helps simplify complex fractions?

**Tip:** Always factor both the numerator and denominator when simplifying complex fractions.

Explore how to solve complex fraction problems involving multiplication, division, subtraction, and addition of algebraic expressions. This guide covers factoring quadratic expressions and rational operations, suitable for high school students in Grades 9-12.

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