`1625xx1625-1625xx625=?`

Options

A. 1625000
B. 162500
C. 325000
D. 812500

Answer

To solve the question `1625 × 1625 - 1625 × 625`, we can use the distributive property of multiplication over subtraction. Here’s how we can break it down step by step:

### Step-by-Step Solution:

1. **Identify the common factor**:
In the expression `1625 × 1625 - 1625 × 625`, we can see that `1625` is a common factor in both terms.

2. **Factor out the common term**:
Using the distributive property, we can rewrite the expression as:
\[ 1625 × (1625 - 625) \]

3. **Calculate the expression inside the parentheses**:
Now, we need to subtract `625` from `1625`:
\[ 1625 - 625 = 1000 \]

4. **Multiply the result by the common factor**:
Now we substitute back into our factored expression:
\[ 1625 × 1000 \]

5. **Perform the multiplication**:
Finally, we multiply `1625` by `1000`:
\[ 1625 × 1000 = 1625000 \]

### Final Answer:
Thus, the value of `1625 × 1625 - 1625 × 625` is **1625000**.