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97² = ( 100 -3)² = 100² - 2×100×3 + 9 = 10 000 - 600 + 9 =9 409
( a+b)² = a² + 2ab + b²
103² = ( 100 +3)² = 10 000 + 2×100×3 + 9 = 10 000 + 600 + 9 =10 609
( a+b)(a-b) = a²-b²
97 × 103 = ( 100 - 3) (100 +3) = 10 000 - 9 = 9991