b) $$ 9+(8 \cdot(7-6) \cdot(5-4)+3)-2+1= $$ c) $$ 5 \cdot(5+5)-5 \cdot(5-5: 5-(5-5))= $$

Question

UpStudy AI · Accepted Answer

Sure, let's evaluate each expression step by step.

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### **b) $$ 9 + (8 \cdot (7 - 6) \cdot (5 - 4) + 3) - 2 + 1 $$**

**Step 1: Evaluate the innermost parentheses.**

$$
7 - 6 = 1 \
5 - 4 = 1
$$

**Step 2: Substitute these values back into the expression.**

$$
9 + (8 \cdot 1 \cdot 1 + 3) - 2 + 1
$$

**Step 3: Perform the multiplication.**

$$
8 \cdot 1 \cdot 1 = 8
$$

**Step 4: Add the results inside the parentheses.**

$$
8 + 3 = 11
$$

**Step 5: Substitute back and perform the additions and subtractions.**

$$
9 + 11 - 2 + 1 = 19
$$

**Answer:** $$ \boxed{19} $$

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### **c) $$ 5 \cdot (5 + 5) - 5 \cdot \left(5 - \frac{5}{5} - (5 - 5)\right) $$**

**Step 1: Evaluate the innermost parentheses and divisions.**

$$
5 + 5 = 10 \
\frac{5}{5} = 1 \
5 - 5 = 0
$$

**Step 2: Substitute these values back into the expression.**

$$
5 \cdot 10 - 5 \cdot (5 - 1 - 0)
$$

**Step 3: Simplify inside the second set of parentheses.**

$$
5 - 1 - 0 = 4
$$

**Step 4: Perform the multiplications.**

$$
5 \cdot 10 = 50 \
5 \cdot 4 = 20
$$

**Step 5: Subtract the results.**

$$
50 - 20 = 30
$$

**Answer:** $$ \boxed{30} $$

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I hope this clarifies the solutions!
**b) 19** **c) 30**

b)
c)