A) 988,036
B) 990,000
C) 995,988
D) 996,000
E) 1,000,000
This is a difference of squares.
The formula for 2 numbers a and b is:
a^2 - b^2 = (a + b)(a - b)
In our problem, we have a = 998 and b = 2:
998^2 – 2^2 = (998 + 2)(998 - 2)
998^2 – 2^2 = 1000(996)
Multiplying by 1000 means we move the decimal place of the other number 3 places to the right:
998^2 – 2^2 = 996,000 or Answer D
B) 990,000
C) 995,988
D) 996,000
E) 1,000,000
This is a difference of squares.
The formula for 2 numbers a and b is:
a^2 - b^2 = (a + b)(a - b)
In our problem, we have a = 998 and b = 2:
998^2 – 2^2 = (998 + 2)(998 - 2)
998^2 – 2^2 = 1000(996)
Multiplying by 1000 means we move the decimal place of the other number 3 places to the right:
998^2 – 2^2 = 996,000 or Answer D
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