If `x = 49`, then `x^(2) + 2x + 1=?`.

Options

A. 1250
B. 2225
C. 2500
D. 2750

Answer

To solve the expression \( x^2 + 2x + 1 \) given that \( x = 49 \), we can follow these steps:

### Step 1: Substitute the value of \( x \)
We start by substituting \( x = 49 \) into the expression:
\[ x^2 + 2x + 1 = 49^2 + 2(49) + 1 \]

### Step 2: Calculate \( 49^2 \)
Next, we calculate \( 49^2 \):
\[ 49^2 = 2401 \]

### Step 3: Calculate \( 2(49) \)
Now, we calculate \( 2(49) \):
\[ 2(49) = 98 \]

### Step 4: Add all the values together
Now we can add all the calculated values together:
\[ 2401 + 98 + 1 = 2401 + 99 = 2500 \]

### Final Answer
Thus, the value of \( x^2 + 2x + 1 \) when \( x = 49 \) is:
\[ \boxed{2500} \]

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