What is the value of 998^2 – 2^2?

Discussion in 'Calculator Requests' started by math_celebrity, Jun 11, 2024.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    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

     
    Last edited: Jun 11, 2024

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