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9 October, 02:36

Set m contains the values {-12, - 7, 4, 11} and set n contains the values {-3,2,8}. What is the greatest possible difference of m^2 - n^2?

A. 76

B. 117

C. 140

D. 153

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Answers (1)
  1. 9 October, 03:05
    0
    C. 140

    Step-by-step explanation:

    We want m^2 to be the largest value it can be, so ignoring the sign of m the largest value of |m| is 12

    (-12) ^2 = 144 which is the largest value of m^2

    We want n^2 to be the smallest it can be, so ignoring the sign of n the smallest value of |n| is 2

    (2) ^2 = 4

    m^2 - n^2

    144-4 = 140
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