https://file.aiquickdraw.com/mathbot/file/17273140712211uw8jvnz.jpg

It looks like the image contains some arithmetic expressions that involve parentheses and multiplication. Let me go through the visible expressions and solve them step by step.

From the visible part of the image, here are the problems I see:

1. **b**: \( 4 \times ( \_ \times 9) = 72 \)
2. **c**: \( 7 \times (2 \times \_ ) = 42 \)
3. **d**: \( ( \_ \times 5) \times 5 = 75 \)
4. **e**: \( (3 \times 3) \times \_ = 27 \)

### Solutions:

1. **b**: \( 4 \times (\_ \times 9) = 72 \)
   - Divide both sides by 4: 
     \[
     \_ \times 9 = \frac{72}{4} = 18
     \]
   - Now, divide both sides by 9:
     \[
     \_ = \frac{18}{9} = 2
     \]
   So, the missing value is **2**.

2. **c**: \( 7 \times (2 \times \_) = 42 \)
   - Divide both sides by 7: 
     \[
     2 \times \_ = \frac{42}{7} = 6
     \]
   - Now, divide both sides by 2:
     \[
     \_ = \frac{6}{2} = 3
     \]
   So, the missing value is **3**.

3. **d**: \( (\_ \times 5) \times 5 = 75 \)
   - First, simplify the expression: 
     \[
     \_ \times 5^2 = 75 \quad \Rightarrow \quad \_ \times 25 = 75
     \]
   - Now, divide both sides by 25:
     \[
     \_ = \frac{75}{25} = 3
     \]
   So, the missing value is **3**.

4. **e**: \( (3 \times 3) \times \_ = 27 \)
   - First, simplify the expression: 
     \[
     9 \times \_ = 27
     \]
   - Now, divide both sides by 9:
     \[
     \_ = \frac{27}{9} = 3
     \]
   So, the missing value is **3**.

### Summary of missing values:
- **b**: 2
- **c**: 3
- **d**: 3
- **e**: 3

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How do we solve equations with multiple variables and operations?
2. What is the order of operations (PEMDAS) in mathematics?
3. Can you try solving an equation with exponents or square roots?
4. How would you handle an equation where division by zero appears?
5. How do you verify the solution to a given algebraic equation?

**Tip**: Always simplify expressions inside parentheses first, following the order of operations to avoid mistakes in complex calculations.

Solve the following arithmetic equations: 1) 4 × (_ × 9) = 72, 2) 7 × (2 × _) = 42, 3) (_ × 5) × 5 = 75, 4) (3 × 3) × _ = 27.

Learn how to solve equations involving multiplication with unknowns. This problem covers basic algebra concepts, suitable for students in Grades 6-8. Equations include finding the missing values in 4 × (_ × 9) = 72, 7 × (2 × _) = 42, (_ × 5) × 5 = 75, and (3 × 3) × _ = 27.

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