If a = 3, b = 2 and c = -4, find the values of:
`c^(2)-a^(2)`

Answer

To solve the problem, we need to find the value of \( c^2 - a^2 \) given that \( a = 3 \), \( b = 2 \), and \( c = -4 \).

### Step-by-Step Solution:

1. **Identify the values of a and c:**
- We know that \( a = 3 \) and \( c = -4 \).

2. **Substitute the values into the expression \( c^2 - a^2 \):**
- We need to calculate \( c^2 \) and \( a^2 \).
- Substitute: \( c^2 - a^2 = (-4)^2 - (3)^2 \).

3. **Calculate \( c^2 \) and \( a^2 \):**
- Calculate \( (-4)^2 \):
\[ (-4)^2 = 16 \]
- Calculate \( (3)^2 \):
\[ (3)^2 = 9 \]

4. **Subtract \( a^2 \) from \( c^2 \):**
- Now substitute the calculated values back into the expression:
\[ c^2 - a^2 = 16 - 9 \]

5. **Perform the subtraction:**
- Calculate \( 16 - 9 \):
\[ 16 - 9 = 7 \]

6. **Final Result:**
- Therefore, the value of \( c^2 - a^2 \) is \( 7 \).

### Summary of the Solution:
The value of \( c^2 - a^2 \) when \( a = 3 \) and \( c = -4 \) is \( 7 \).

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