SOLUTION: Factoirse x^2- (( a+b)^2+a^2/a^2+ab) x+1

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Question 1025959: Factoirse x^2- (( a+b)^2+a^2/a^2+ab) x+1
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
 


 

Since a+b appears twice, let c = a+b 



Get a least common denominator of ac



Factor out 



So we try to factorize the trinomial like this,
breaking up  as the product of  and :



It doesn't take too much thinking to know that we
must fill in the blank spaces with c and a to
cause the product to be ac



And if we find the outer and inner products, we
find that we get -aČ-bČ which is -(aČ+bČ).

So that is the correct factorization.  All that's
left is to substitute (a+b) for c and simplify:

  

Removing the inner parentheses we have:

 

Edwin
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