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It seems you have uploaded an image of a math problem that involves simplifying an expression given specific values for variables. Let's go through the solution.

The problem is to simplify the expression \( a(b - 2) \) given that \( a = 3 \), \( b = 2 \), and \( c = 4 \).

1. Start with the expression: 
   \[
   a(b - 2)
   \]
   
2. Substitute the values of \( a \) and \( b \) into the expression:
   \[
   3(2 - 2)
   \]

3. Simplify the expression inside the parentheses:
   \[
   3(0)
   \]

4. Multiply:
   \[
   3 \times 0 = 0
   \]

However, the solution shown in the image incorrectly has \( 3(-4) = -12 \), which suggests there may have been a mistake in interpreting the values of the variables or the expression. The correct result for \( a(b - 2) \) with \( a = 3 \) and \( b = 2 \) is actually **0**.

Would you like further details or have any questions? 

Here are 5 related questions to further expand your understanding:

1. What is the value of the expression \( a(c - 2) \) if \( a = 3 \) and \( c = 4 \)?
2. How would the expression change if \( a = 3 \) and \( b = -2 \)?
3. What is the result of \( 2a(b + 1) \) given \( a = 3 \) and \( b = 2 \)?
4. How can you check your work when simplifying expressions like these?
5. What happens if \( b = 3 \) in the original expression \( a(b - 2) \)?

**Tip:** Always double-check the substitution of values to ensure accuracy in your calculations.

Simplify the expression a(b - 2) given that a = 3, b = 2, and c = 4.

Learn how to simplify the expression a(b - 2) by substituting values for variables. This problem involves basic algebraic concepts and demonstrates how to correctly substitute and simplify expressions. Suitable for students in Grades 6-8.

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