SOLUTION: Prove that if a and b are odd, their product it also odd.

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Question 343130: Prove that if a and b are odd, their product it also odd.
Answer by solver91311(24713) About Me  (Show Source):
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The odd number is

The odd number is



Each of the first three terms of the expanded polynomial are divisible by 2, but the last term is not, therefore the entire polynomial has a remainder of 1 when divided by 2. The expression represents an odd number by definition.

John

My calculator said it, I believe it, that settles it