Find the value of :
`(987)^(2) - (13)^(2)`

Answer

To find the value of \( (987)^2 - (13)^2 \), we can use the difference of squares formula, which states that:

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

In this case, let \( a = 987 \) and \( b = 13 \).

### Step 1: Apply the difference of squares formula
Using the formula, we can rewrite the expression as:

\[ (987)^2 - (13)^2 = (987 + 13)(987 - 13) \]

### Step 2: Calculate \( 987 + 13 \)
Now, we calculate \( 987 + 13 \):

\[ 987 + 13 = 1000 \]

### Step 3: Calculate \( 987 - 13 \)
Next, we calculate \( 987 - 13 \):

\[ 987 - 13 = 974 \]

### Step 4: Multiply the results
Now, we multiply the two results together:

\[ (987)^2 - (13)^2 = (1000)(974) \]

### Step 5: Perform the multiplication
Now, we perform the multiplication:

\[ 1000 \times 974 = 974000 \]

Thus, the value of \( (987)^2 - (13)^2 \) is:

\[ \boxed{974000} \]