Calculations based a minus plus c whole square (a-b+c)^2

a minus b plus c whole square (a-b+c)^2

(a-b+c)2 = a2 +b2 +c2 -2ab -2bc +2ac

let a = 2, b = 3, c =4

(a-b+c)2 = (2-3+4)2

 = 32 = 9 = LHS

a2+ b2 +c2 -2ab -2bc +2ac =22 +32 +42 - 2.2.3 - 2.3.4 +2.2.4

 = 4 + 9 + 16 -12 - 24 + 16

 = 9 = RHS

hence LHS = RHS

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