Imagine une stratégie pour calculer :
123 456 789 515² + 123 456 789 512² - ( 123 456 789 513² + 123 456 789 514² )
123 456 789 515² + 123 456 789 512² - ( 123 456 789 513² + 123 456 789 514² )
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On pose x=123.456.789.513On a donc (x+2)²+(x-1)²-(x²+(x+1)²)
(x+2)²+(x-1)²-(x²+(x+1)²)=x²+4x+4+x²-2x+1-(x²+x²+2x+1)=2x²+2x+5-2x²-2x-1=4