bonjour
petit calcul simple: 1 987 654²- 1 987 650²- 8 x 1 987 650
Merci de detailler le calcul

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Grade: Education Subject: mathematiques
bonjour
petit calcul simple: 1 987 654²- 1 987 650²- 8 x 1 987 650
Merci de detailler le calcul
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Answer (107)

Best Answer
(142)

Bonsoir,

En prenant n = 1 987 650 on obtient alors

(n+4)² - (n)² - 8(n) =  n² + 16 + 8n - n² - 8n = 16

Bonne soirée

(223)

Bonsoir

petit calcul simple: 1 987 654 ²- 1 987 650²- 8 x 1 987 650

On pose :

n = 1 987 654

n + 6 = 1 987 650

= n² - (n - 4)² - 8 x (n - 4)

= n² - n² + 8n - 16 - 8n + 32

= 16