daphne848 daphne848
  • 20-12-2017
  • Mathematics
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Will odd numbers when added always make even numbers

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lesliekolleroxrkcf
lesliekolleroxrkcf lesliekolleroxrkcf
  • 20-12-2017
always. consider 2x which is always even (divisible by 2)

then 2x+1 is the form of all odd numbers.

add 2 of the odd numbers together to get (2x+1)(2y+1) = (4y² +2x +2y) + 1

the part in parentheses is always even can you see why? then adding one again always gives us an odd number.
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