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62550
@62550
June 2021
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Aidez moi svp !
Comment peut-on déduire, sans calculatrice, le résultat de 99997²−99999×99998
?
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Vexalord
Si on prend x=99998, alors 99997²-99999²+99998=(x-1)²-(x+1)²+x=((x-1)-(x+1))((x-1)+(x+1))=2x-2.
Donc 99997²-99999²+99998=2×99998-2=199994
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Donc 99997²-99999²+99998=2×99998-2=199994