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2 Answers

(x-4)² + (x-2)² + (x-3)²

= x2 -8x+16 + x2 -4x +4 + x2-6x +9

= 3x2-18x +29

= (x-4)(x-4)        +        (x-2)(x-2)      +       (x-3)(x-3) 

= x2-4x -4x +16 + x2 -2x -2x +4       + x2-3x - 3x + 9

= x2 + x2 + x2-8x -4x -6x +16 +4 +9

= 3x2 - 18x +29