Aidez moi svp !
Comment peut-on déduire, sans calculatrice, le résultat de 99997²−99999×99998?

By: USER3855
27 Agustus 2025 mathematiques 5 minutes
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Question

Grade: Education Subject: mathematiques
Aidez moi svp !
Comment peut-on déduire, sans calculatrice, le résultat de 99997²−99999×99998?
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Answer (118)

Best Answer
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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
Answered on 27 Agustus 2025

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