`1568xx185-1568xx85=? `

Options

A. 7840
B. 15680
C. 156800
D. none of these

Answer

To solve the question \( 1568 \times 185 - 1568 \times 85 \), we can use the distributive property of multiplication over subtraction. Here’s the step-by-step solution:

### Step 1: Identify the common factor
In the expression \( 1568 \times 185 - 1568 \times 85 \), we can see that \( 1568 \) is a common factor in both terms.

### Step 2: Factor out the common term
Using the distributive property, we can factor out \( 1568 \):
\[ 1568 \times 185 - 1568 \times 85 = 1568 \times (185 - 85) \]

### Step 3: Subtract the numbers inside the parentheses
Now, we will calculate \( 185 - 85 \):
\[ 185 - 85 = 100 \]

### Step 4: Multiply the result by the common factor
Now, we substitute back into the equation:
\[ 1568 \times (185 - 85) = 1568 \times 100 \]

### Step 5: Calculate the final multiplication
Now, we perform the multiplication:
\[ 1568 \times 100 = 156800 \]

### Final Answer
Thus, the answer to the question \( 1568 \times 185 - 1568 \times 85 \) is:
\[ \boxed{156800} \]

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