Evaluate the expression if a = -2, b = 3, c = 4.2 for  2a + (b+3)2

Let's evaluate the given expression \( 2a + (b + 3)2 \) with the values \( a = -2 \), \( b = 3 \), and \( c = 4.2 \).

First, substitute the values of \( a \) and \( b \) into the expression:
\[
2(-2) + (3 + 3) \cdot 2
\]

### Step-by-step calculation:
1. Calculate \( 2a = 2(-2) = -4 \).
2. Calculate \( (b + 3) = 3 + 3 = 6 \).
3. Multiply by 2: \( 6 \cdot 2 = 12 \).
4. Add the results: \( -4 + 12 = 8 \).

Therefore, the value of the expression is \( 8 \).

Would you like a breakdown of any of the steps? Here are 5 related questions:

1. How would the expression change if \( a \) or \( b \) had different values?
2. What happens if the expression includes \( c \) as well?
3. Can this be represented visually with graphs?
4. How can you use this method for more complex algebraic expressions?
5. What are some similar expressions that involve more variables?

**Tip**: When substituting values into expressions, handle operations like parentheses and multiplication first to avoid mistakes.

Evaluate the expression if a = -2, b = 3, c = 4.2 for 2a + (b+3)2

Learn how to evaluate the expression 2a + (b+3)2 with detailed steps. This algebra problem focuses on substitution and simplification using values for a and b. Ideal for students in Grades 6-8.

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