
#1
Feb2411, 04:52 PM

P: 2

????




#2
Feb2411, 05:12 PM

PF Gold
P: 1,930

Well, a^2b^2 = (a+b)(ab), right? Then consider the cases of a and b even, and a and b odd (if only one is even, then the left side is odd and the right side is even, a contradiction). You'll find that (a+b) is even AND (ab) is ALSO even, and thus the left side is divisible by four, while the right side cannot be divisible by four. Again, contradiction.




#3
Feb2411, 05:14 PM

PF Gold
P: 1,930





#4
Feb2411, 05:16 PM

Sci Advisor
HW Helper
Thanks
P: 25,170

Proof by contradiction 



#5
Feb2411, 05:23 PM

P: 2

Thanks. I tried this before but I must have messed up the algebra or something



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