if `p = -10`. find the value of ` p^(2) - 2p - 100`.

Answer

To solve the expression \( p^2 - 2p - 100 \) given that \( p = -10 \), we will follow these steps:

### Step 1: Substitute the value of \( p \)
We start by substituting \( p = -10 \) into the expression:
\[ p^2 - 2p - 100 = (-10)^2 - 2(-10) - 100 \]

### Step 2: Calculate \( (-10)^2 \)
Next, we calculate \( (-10)^2 \):
\[ (-10)^2 = 100 \]

### Step 3: Calculate \( -2(-10) \)
Now, we calculate \( -2(-10) \):
\[ -2(-10) = 20 \]

### Step 4: Combine the results
Now we can combine the results from Steps 2 and 3 into the expression:
\[ 100 + 20 - 100 \]

### Step 5: Simplify the expression
Now, we simplify:
\[ 100 + 20 = 120 \]
Then,
\[ 120 - 100 = 20 \]

### Final Answer
Thus, the value of the expression \( p^2 - 2p - 100 \) when \( p = -10 \) is:
\[ \boxed{20} \]