14 Use the distributive property to complete the following. a \( 5(12+6)=(5 \times \square)+(5 \times \square)=\square+\square=\square \) b \( 20(40-6)=(20 \times \square)-(\square \times \square)=\square-\square=\square \)

Sure! Let's use the **distributive property** to solve each part by expanding the expressions step by step. ### a) \( 5(12 + 6) \) **Step 1:** Apply the distributive property: \[ 5(12 + 6) = (5 \times 12) + (5 \times 6) \] **Step 2:** Perform the multiplications: \[ 5 \times 12 = 60 \\ 5 \times 6 = 30 \] **Step 3:** Add the results: \[ 60 + 30 = 90 \] **Complete Solution:** \[ 5(12 + 6) = (5 \times 12) + (5 \times 6) = 60 + 30 = 90 \] --- ### b) \( 20(40 - 6) \) **Step 1:** Apply the distributive property: \[ 20(40 - 6) = (20 \times 40) - (20 \times 6) \] **Step 2:** Perform the multiplications: \[ 20 \times 40 = 800 \\ 20 \times 6 = 120 \] **Step 3:** Subtract the results: \[ 800 - 120 = 680 \] **Complete Solution:** \[ 20(40 - 6) = (20 \times 40) - (20 \times 6) = 800 - 120 = 680 \]