Evaluate the expression. 1. $$ 4(5+6)-15 $$ 3. $$ 3(14-7)-16 $$ 5. $$ 10(6-5)-3(9-6) $$ 7. $$ 2(8+3)+4^{2} $$ 9. $$ 8(2+1)^{2}-4^{2} $$

Question

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**1. Evaluate $$ 4(5+6)-15 $$**  
1. Compute inside the parentheses:  
$$
5+6 = 11
$$  
2. Multiply by 4:  
$$
4 \times 11 = 44
$$  
3. Subtract 15:  
$$
44 - 15 = 29
$$

**Result:** $$29$$

---

**3. Evaluate $$ 3(14-7)-16 $$**  
1. Compute inside the parentheses:  
$$
14-7 = 7
$$  
2. Multiply by 3:  
$$
3 \times 7 = 21
$$  
3. Subtract 16:  
$$
21 - 16 = 5
$$

**Result:** $$5$$

---

**5. Evaluate $$ 10(6-5)-3(9-6) $$**  
1. Compute the first parentheses:  
$$
6-5 = 1 \quad \Rightarrow \quad 10 \times 1 = 10
$$  
2. Compute the second parentheses:  
$$
9-6 = 3 \quad \Rightarrow \quad 3 \times 3 = 9
$$  
3. Subtract the second product from the first:  
$$
10 - 9 = 1
$$

**Result:** $$1$$

---

**7. Evaluate $$ 2(8+3)+4^{2} $$**  
1. Compute inside the parentheses:  
$$
8+3 = 11 \quad \Rightarrow \quad 2 \times 11 = 22
$$  
2. Compute the power:  
$$
4^2 = 16
$$  
3. Add the two results:  
$$
22 + 16 = 38
$$

**Result:** $$38$$

---

**9. Evaluate $$ 8(2+1)^{2}-4^{2} $$**  
1. Compute inside the parentheses:  
$$
2+1 = 3
$$  
2. Square the result:  
$$
3^2 = 9
$$  
3. Multiply by 8:  
$$
8 \times 9 = 72
$$  
4. Compute the second power:  
$$
4^2 = 16
$$  
5. Subtract the second product from the first:  
$$
72 - 16 = 56
$$

**Result:** $$56$$
1. $$29$$ 3. $$5$$ 5. $$1$$ 7. $$38$$ 9. $$56$$

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