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

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

UpStudy AI · Accepted Answer

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:**
$$
20(40 - 6) = (20 \times 40) - (20 \times 6) = 800 - 120 = 680
$$
a) $$ 5(12 + 6) = (5 \times 12) + (5 \times 6) = 60 + 30 = 90 $$ b) $$ 20(40 - 6) = (20 \times 40) - (20 \times 6) = 800 - 120 = 680 $$

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

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