15 Multiply the following rational expressions. Write the answer in lowest terms. \[ \frac{e+d}{3 x} \cdot \frac{63}{5(c+d)} \]

To multiply the rational expressions \(\frac{e+d}{3x} \cdot \frac{63}{5(c+d)}\), you can follow these steps: 1. **Multiply the numerators**: \((e+d) \cdot 63 = 63(e+d)\) 2. **Multiply the denominators**: \(3x \cdot 5(c+d) = 15x(c+d)\) Now the expression becomes: \[ \frac{63(e+d)}{15x(c+d)} \] 3. **Simplify the fraction**: To simplify, we can look for common factors in the numerator and the denominator. The greatest common factor (GCF) of 63 and 15 is 3. Dividing both the numerator and denominator by 3 gives: \[ \frac{21(e+d)}{5x(c+d)} \] Thus, the final answer in the lowest terms is: \[ \frac{21(e+d)}{5x(c+d)} \]