Find the value of `107 xx 107 - 93 xx 93`.

Answer

To solve the expression \(107 \times 107 - 93 \times 93\), we can use the difference of squares formula, which states that:

\[ a^2 - b^2 = (a + b)(a - b) \]

In our case, we can let \(a = 107\) and \(b = 93\).

### Step 1: Identify \(a\) and \(b\)
- Here, \(a = 107\) and \(b = 93\).

### Step 2: Apply the difference of squares formula
Using the formula \(a^2 - b^2 = (a + b)(a - b)\):

\[ 107^2 - 93^2 = (107 + 93)(107 - 93) \]

### Step 3: Calculate \(a + b\) and \(a - b\)
- Calculate \(107 + 93\):
\[ 107 + 93 = 200 \]

- Calculate \(107 - 93\):
\[ 107 - 93 = 14 \]

### Step 4: Substitute back into the formula
Now we substitute these values back into the formula:

\[ 107^2 - 93^2 = (200)(14) \]

### Step 5: Calculate the final result
Now we multiply \(200\) and \(14\):

\[ 200 \times 14 = 2800 \]

### Final Answer
Thus, the value of \(107 \times 107 - 93 \times 93\) is:

\[ \boxed{2800} \]