Explanation

Multiplying rational expressions:

1. Factor everything

2. Cancel common factors

3. Multiply remaining parts

Example:
(x² − 4)/(x² − x) · (x)/(x + 2)

Factor and cancel first.

Dividing rational expressions:

• Multiply by the reciprocal

Example:
(a/b) ÷ (c/d) = (a/b) · (d/c)

Quiz

1. What is the first step before multiplying?

2. What happens when dividing rational expressions?

3. Should you cancel before multiplying?

4. What is a reciprocal?

5. Can restrictions change after simplifying?

Answer Key

1. Factor

2. Multiply by the reciprocal

3. Yes

4. A flipped fraction

5. No