SOLUTION: (x+y-2z)^2+2(x+y-2z)(x-2y+2z)+(x-2y+2z)^2

Question 1041348: (x+y-2z)^2+2(x+y-2z)(x-2y+2z)+(x-2y+2z)^2
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!




Let (x+y-2z) = p

Let (x-2y+2z) = q

Substituting,



Factoring as a perfect square.



Replacing p and q  with (x+y-2z) and (x-2y+2z),
respectively,



Removing parentheses,



Collecting like terms,

  

or multiplied out 



whichever of the last two forms you prefer.

Edwin

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