Multiplying and Dividing Rational Expressions Math Example 1

Solution

1. 1
   Step 1: Factor: $\frac{(x+1)(x-1)}{x+3} \cdot \frac{x+3}{x+1}$.
2. 2
   Step 2: Cancel $(x+3)$ and $(x+1)$: $x - 1$.
3. 3
   Step 3: Restrictions: $x \neq -3, -1$.
4. 4
   Check: At $x = 2$: $\frac{3}{5} \cdot \frac{5}{3} = 1$ and $2-1 = 1$ ✓