Calculation based on a minus b minus c whole square (a-b-c)^2

 a minus b minus c whole square (a-b-c)2

(a-b-c)2 = a2+b2+c2 -2ab - 2ac +2bc

proof by substution

let value of a =2 b = 3 c=4

(2-3-4)2 = (-5)2 = 25

a2 +b2 + c2 -2ab -2ac -2bc = 22 + 32 + 42 -2( 6) - 2(8) +2(12)

                                            = 4  + 9 + 16 - 12 - 16 +24 

                                             = 25 

hence LHS = RHS

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