Question: tedious calculation using MAPLE

By a straight forward calculation, one can check that the expressions

(2*delta^2-2*beta*delta+alpha^2-2*alpha*delta+beta^2)*N^2+2*gamma*(beta+alpha-2*delta)*N+2*gamma^2

 

and 

 

(N*beta-N*delta+gamma)^2+(N*(alpha-delta)+gamma)^2

 

are same and equal. 

How to get the 2nd expression from the 1st expression by simplification by using MAPLE. 

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