If `p = 999, ` find the value of `P (P + 2)` is:

Options

A. 999999
B. 10000000
C. 9999
D. 99999

Answer

To find the value of \( P(P + 2) \) when \( P = 999 \), we can follow these steps:

### Step 1: Substitute the value of \( P \)
We know that \( P = 999 \). So we can substitute this value into the expression \( P(P + 2) \).

\[ P(P + 2) = 999(999 + 2) \]

### Step 2: Simplify the expression inside the parentheses
Now, we need to simplify the expression inside the parentheses:

\[ 999 + 2 = 1001 \]

### Step 3: Rewrite the expression
Now we can rewrite the expression with the simplified value:

\[ P(P + 2) = 999 \times 1001 \]

### Step 4: Perform the multiplication
Next, we will multiply \( 999 \) by \( 1001 \):

\[ 999 \times 1001 = 999 \times (1000 + 1) = 999 \times 1000 + 999 \times 1 \]

Calculating each part:

\[ 999 \times 1000 = 999000 \]
\[ 999 \times 1 = 999 \]

Now, add these two results together:

\[ 999000 + 999 = 999999 \]

### Final Answer
Thus, the value of \( P(P + 2) \) is:

\[ \boxed{999999} \]

---