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24 February, 22:42

Which equation shows how to rewrite the sum of 42 and 54 using their greatest common factor? A 54+42=3 (18+14) B 54+42=4 (8) (3) C 54+42=6 (9) + 3 (14) D 54+42=6 (9+7)

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  1. 24 February, 23:12
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    The required "option D) 54 + 42 = 6 (9 + 7) " is correct.

    Step-by-step explanation:

    We have,

    The sum of 42 and 54

    = 42 + 54

    ∴ 42 and 54

    42 = 2 * 3 * 7 and

    54 = 2 * 3 * 3 * 3

    The greatest common factor of 42 and 54

    = 2 * 3

    = 6

    ∴ 42 + 54

    = 6 (7 + 9)

    = 6 (9 + 7)

    Thus, the required "option D) 54 + 42 = 6 (9 + 7) " is correct.
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