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11 January, 13:14

Use expressions for odd integers to confirm the conjecture that the product for two odd integers is an odd integer.

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  1. 11 January, 13:25
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    2n + 1 et 2n + 3 are two odd integers with n integer

    (2n+1) (2n+3) = 4n² + 8n + 3 = 2 (4n² + 4n) + 3

    2 (4n² + 4n) is an even integer so 2 (4n² + 4n) + 3 is an odd number

    because the sum of an even number and an odd number is an odd number.
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