Final answer:
The result of 1005 x 995 is found by using the difference of squares formula and is 999,975. The provided options do not include the correct result, indicating a potential error in the question or the options.
Step-by-step explanation:
The result of multiplying 1005 by 995 using the special product rule can be calculated by recognizing that these numbers are near a base of 1000. Since 1005 is 5 more than 1000, and 995 is 5 less than 1000, we use the difference of squares. The formula for the difference of squares is (a+b)(a-b) = a² - b². Here, a is 1000 and b is 5.
Therefore, the product is:
1000² - 5²
= 1000000 - 25
= 999,975
However, none of the options given match this correct result, so it would suggest there might be an error in the question or the options provided, as the correct answer should be 999,975.