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3x287² + 3x187² + 3x113² + 3x287x113 - 3x287x187 + 3x113x187

= (3/2) (2x287² + 2x187² + 2x113² + 2x287x113 - 2x287x187 + 2x113x187)

= (3/2) [(287² + 2x287x113 + 113²) + (287² - 2x287x187 + 187²) + (113² + 2x113x187 + 187²)]

= (3/2) [(287 + 113)² + (287 - 187)² + (113 + 187)²]

= (3/2) (400² + 100² + 300²)

= (3/2) (100²x4² + 100²x1² + 100²x3²)

= 100² (3/2) (4² + 1² + 3²)

= 10000 (3/2) (16 + 1 + 9)

= 10000 (3/2) (26)

= 10000 (3) (13)

= 390000

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