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odd number x odd number = odd number?
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yes
11*11 = 121
is there a way to prove it algebraically?
(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1=2k+1
Odd number = 2k +1 (2k + 1)^2 = 4k^2 + 4k + 1 = 2(2k^2+2k) + 1 2k^2 + 2k can be any number, it doesnt matter. Since any number multiplied by two is even, 2k^2 + 2k is even. So add one to that, and you get odd.
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yes! :)
2*(2k^2 + 2k) is even* is what i meant.
i see..thanks guys :D
just a few months ago they made me think these things could not be proved lol
try proving 0 is different from 1 :d
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how?
A is the number that Ax = A B is the number that B + x = x are A and B the same number? go nuts. dont hurt yourself. remember that i said "try" :)
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