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Yannes

Prove that the product of any four consecutive odd numbers is an odd number

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  • Yannes
    2020-09-08 13:55:36
    Like this? Any simpler way?

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  • eric
    2020-09-08 17:22:17
    It is enough to show the product of any two odd numbers is odd. Start with (2n+1)(2m+1)
  • 解數雜貨店
    2020-09-08 21:38:14
    4 consecutive odd numbers: 2a-3, 2a-1, 2a+1, 2a+3 (2a-1)(2a+1)(2a-3)(2a+3) = (4a²-1)(4a²-9) = 16a⁴-40a²+9 = 2(8a⁴-20a²+4) + 1
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