Calculate the difference between the squares of the largest and smallest two-digit prime numbers.
A. 9298
B. 9892
C. 9292
D. 9288

Options

A. D
B. C
C. A
D. B

Answer

To solve the problem of calculating the difference between the squares of the largest and smallest two-digit prime numbers, follow these steps:

### Step 1: Identify the smallest two-digit prime number.
The smallest two-digit prime number is **11**.

### Step 2: Identify the largest two-digit prime number.
The largest two-digit prime number is **97**.

### Step 3: Calculate the square of the largest two-digit prime number (97).
\[ 97^2 = 97 \times 97 = 9409 \]

### Step 4: Calculate the square of the smallest two-digit prime number (11).
\[ 11^2 = 11 \times 11 = 121 \]

### Step 5: Calculate the difference between the squares.
\[ \text{Difference} = 97^2 - 11^2 = 9409 - 121 \]
\[ \text{Difference} = 9288 \]

### Conclusion
The difference between the squares of the largest and smallest two-digit prime numbers is **9288**.