SOLUTION: explain why a^2 + b^2 cannot be a factored
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Question 192325: explain why a^2 + b^2 cannot be a factored
Found 2 solutions by Mathtut, solver91311:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
there is no common factors in these terms
:
a*a+b*b
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I can't do that. Nobody can. That's because, in general, 
can be factored -- just not over the real numbers. That is to say, real number expressions p and q do not exist such that 
. However, if you consider the complex numbers of the form 
where 
is defined as 
, then factors quite nicely to (a - bi))
.
John
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