Distributive properiy: Fractional coerricionts Use the distributive property to remove the parentheses. Simplify your answer as much as possible. \[ 8\left(\frac{1}{4} u+\frac{3}{2}\right) \] \( \square \)

To apply the **distributive property** to the expression \( 8\left(\frac{1}{4} u + \frac{3}{2}\right) \), follow these steps: 1. **Multiply each term inside the parentheses by 8:** \[ 8 \times \frac{1}{4}u + 8 \times \frac{3}{2} \] 2. **Simplify each multiplication:** - \( 8 \times \frac{1}{4}u = 2u \) - \( 8 \times \frac{3}{2} = 12 \) 3. **Combine the simplified terms:** \[ 2u + 12 \] **Final Answer:** \[ 2u + 12 \]