av \( 5(12+6)=(5 \times \square)+(5 \times \square)=\square+\square=\square \) b \( 20(40-6)=(20 \times \square)-(\square \times \square)=\square-\square=\square \) Use the inverse of the distributive property to complete the fol av \( (4 \times 12)+(4 \times 6)=4(\square+\square)=4 \times \square=\square \) b \( (25 \times 30)-(25 \times 2)=25(\square-\square)=\square \times \square=\square \)

Sure, let's complete each part by filling in the blanks using the distributive property and its inverse. ### Using the Distributive Property **a.** \[ 5(12 + 6) = (5 \times \underline{12}) + (5 \times \underline{6}) = 60 + 30 = 90 \] **b.** \[ 20(40 - 6) = (20 \times \underline{40}) - (20 \times \underline{6}) = 800 - 120 = 680 \] ### Using the Inverse of the Distributive Property **a.** \[ (4 \times 12) + (4 \times 6) = 4(\underline{12 + 6}) = 4 \times 18 = 72 \] **b.** \[ (25 \times 30) - (25 \times 2) = 25(\underline{30 - 2}) = 25 \times 28 = 700 \] --- ### Summary of Completed Steps 1. **Distributive Property:** - **a.** \( 5(12 + 6) = (5 \times 12) + (5 \times 6) = 60 + 30 = 90 \) - **b.** \( 20(40 - 6) = (20 \times 40) - (20 \times 6) = 800 - 120 = 680 \) 2. **Inverse Distributive Property:** - **a.** \( (4 \times 12) + (4 \times 6) = 4(12 + 6) = 4 \times 18 = 72 \) - **b.** \( (25 \times 30) - (25 \times 2) = 25(30 - 2) = 25 \times 28 = 700 \) Feel free to ask if you need further clarification or additional examples!