`13.065xx13.065-3.065xx3.065=?`

Options

A. 161.3
B. 159.5
C. 141.6
D. 100

Answer

To solve the question \( 13.065 \times 13.065 - 3.065 \times 3.065 \), we can use the difference of squares formula. Here’s a step-by-step solution:

### Step 1: Identify the expression
We have the expression:
\[ 13.065 \times 13.065 - 3.065 \times 3.065 \]
This can be rewritten using the difference of squares formula, which states that:
\[ A^2 - B^2 = (A + B)(A - B) \]
where \( A = 13.065 \) and \( B = 3.065 \).

### Step 2: Apply the difference of squares formula
Using the formula:
\[ (13.065)^2 - (3.065)^2 = (13.065 + 3.065)(13.065 - 3.065) \]

### Step 3: Calculate \( A + B \) and \( A - B \)
Now we calculate \( A + B \) and \( A - B \):
\[ A + B = 13.065 + 3.065 = 16.130 \]
\[ A - B = 13.065 - 3.065 = 10.000 \]

### Step 4: Multiply the results
Now we multiply the results from the previous step:
\[ (16.130) \times (10.000) = 161.30 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{161.30} \]

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