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20 July, 09:53

Find a pair of factors for each number by using the difference of two squares.

a. 45

b. 77

c. 112

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Answers (1)
  1. 20 July, 12:37
    0
    The answers are:

    a) 9 and 5

    b) 11 and 7

    c) 14 and 8

    a² - b² = (a + b) (a - b)

    a) The answer is 9 and 5

    45 = a² - b²

    45 = 49 - 4 = 7² - 2² = (7 + 2) (7 - 2) = 9 * 5

    b) The answer is 11 and 7

    77 = a² - b²

    77 = 81 - 4 = 9² - 2² = (9 + 2) (9 - 2) = 11 * 7

    c) The answer is 14 and 8

    112 = a² - b²

    112 = 121 - 9 = 11² - 3² = (11 + 3) (11 - 3) = 14 * 8
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