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Abdoul457
@Abdoul457
May 2019
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Bonjour s'il vous plait je n'y comprend rien aidezz moii... Effectuez les calcul suivants sans calculatrice et en effectuant toute les étapes intermédiaires mentalement.
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remilesochalieoz9a2c
Verified answer
Salut ! :)
On va utiliser l'identité remarquable : (a - b)² = a² + 2ab + b²
1) 39² = (40 - 1)²
= 40² - 2×40×1 + 1²
= 1600 - 80 + 1
= 1520 + 1
= 1521
2) a) 99² = (100 - 1)²
= 100² - 2×100×1 + 1²
= 10 000 - 200 + 1
= 9 800 + 1
= 9801
b) 29² = (30 - 1)²
= 30² - 2×30×1 + 1²
= 900 - 60 + 1
= 840 + 1
= 841
c) 195² = (200 - 5)²
= 200² - 2×200×5 + 5²
= 40 000 - 2 000 + 25
= 38 000 + 25
= 38 025
Voilà ! :)
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Lista de comentários
Verified answer
Salut ! :)On va utiliser l'identité remarquable : (a - b)² = a² + 2ab + b²
1) 39² = (40 - 1)²
= 40² - 2×40×1 + 1²
= 1600 - 80 + 1
= 1520 + 1
= 1521
2) a) 99² = (100 - 1)²
= 100² - 2×100×1 + 1²
= 10 000 - 200 + 1
= 9 800 + 1
= 9801
b) 29² = (30 - 1)²
= 30² - 2×30×1 + 1²
= 900 - 60 + 1
= 840 + 1
= 841
c) 195² = (200 - 5)²
= 200² - 2×200×5 + 5²
= 40 000 - 2 000 + 25
= 38 000 + 25
= 38 025
Voilà ! :)