`105^(2)`

Answer

To solve the question \( 105^2 \), we will follow these steps:

### Step 1: Write the expression
We start with the expression:
\[ 105^2 \]

### Step 2: Use the formula for squaring a binomial
We can express \( 105 \) as \( 100 + 5 \). Therefore, we can use the binomial square formula:
\[ (a + b)^2 = a^2 + 2ab + b^2 \]
where \( a = 100 \) and \( b = 5 \).

### Step 3: Substitute values into the formula
Using the values of \( a \) and \( b \):
\[ 105^2 = (100 + 5)^2 = 100^2 + 2 \cdot 100 \cdot 5 + 5^2 \]

### Step 4: Calculate each term
Now we calculate each term:
- \( 100^2 = 10000 \)
- \( 2 \cdot 100 \cdot 5 = 1000 \)
- \( 5^2 = 25 \)

### Step 5: Add the results together
Now we add all the calculated values:
\[ 105^2 = 10000 + 1000 + 25 = 11025 \]

### Final Answer
Thus, the value of \( 105^2 \) is:
\[ \boxed{11025} \]

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