2. Use the distributive property of multiplic Example: \( 4(5+9)=4 \times 5+4 \times 9=(4 \times \) a. \( 3(4+2)=3 \times 4+1+99= \) b. \( 10(2+3)=\square \) c. \( 5(3+1)=\square \)

Sure! Let's apply the **distributive property of multiplication** to each of the given problems. The distributive property states that: \[ a(b + c) = a \times b + a \times c \] ### **Example:** \[ 4(5 + 9) = 4 \times 5 + 4 \times 9 = 20 + 36 = 56 \] ### **a. \( 3(4 + 2) \)** Apply the distributive property: \[ 3(4 + 2) = 3 \times 4 + 3 \times 2 \] Calculate each multiplication: \[ = 12 + 6 \] Add the results: \[ = 18 \] **Answer:** \( 18 \) --- ### **b. \( 10(2 + 3) \)** Apply the distributive property: \[ 10(2 + 3) = 10 \times 2 + 10 \times 3 \] Calculate each multiplication: \[ = 20 + 30 \] Add the results: \[ = 50 \] **Answer:** \( 50 \) --- ### **c. \( 5(3 + 1) \)** Apply the distributive property: \[ 5(3 + 1) = 5 \times 3 + 5 \times 1 \] Calculate each multiplication: \[ = 15 + 5 \] Add the results: \[ = 20 \] **Answer:** \( 20 \) --- ### **Summary of Answers:** - **a.** \( 18 \) - **b.** \( 50 \) - **c.** \( 20 \) If you have any more questions or need further clarification, feel free to ask!