`1014 xx 986 = ? `

Options

A. 998904
B. 99904
C. 999804
D. 998804

Answer

To solve the multiplication problem \( 1014 \times 986 \), we can use the difference of squares formula, which states that:

\[ (a + b)(a - b) = a^2 - b^2 \]

In this case, we can express \( 1014 \) as \( 1000 + 14 \) and \( 986 \) as \( 1000 - 14 \). Thus, we can rewrite the multiplication as:

\[ (1000 + 14)(1000 - 14) \]

Now, applying the difference of squares formula:

\[ = 1000^2 - 14^2 \]

Next, we calculate \( 1000^2 \):

\[ 1000^2 = 1000000 \]

Now, we calculate \( 14^2 \):

\[ 14^2 = 196 \]

Now, we substitute these values back into the equation:

\[ = 1000000 - 196 \]

Now, we perform the subtraction:

\[ 1000000 - 196 = 999804 \]

Thus, the final answer is:

\[ 1014 \times 986 = 999804 \]