Bonjour j’aurais besoin d’aide pour l’exercice 2 et 3 pouvez vous m’aidez svp

Bonsoir,

Exercice 2 :

A = 36 = 6 × 6 = 2 × 3 × 2 × 3 = 2² × 3² × 5° car 5° = 1

B = 150 = 15 × 10 = 3 × 5 × 2 × 5 = 2¹ × 3¹ × 5²

C = 150/36 = (2¹ × 3¹ × 5²)/(2² × 3² × 5°) = 5²/(2¹ × 3¹) = 2-¹ × 3-¹ × 5²

D = 2/150² × (6/5)²

D = 2/( 2¹ × 3¹ × 5²) × 6²/5²

D = (2×6²)/(2¹ × 3¹ × 5⁴)

D = (2×2²×3²)/(2¹×3¹×5⁴)

D = (2² × 3¹)/5⁴

D = 2² × 3¹ × 5-⁴

Exercice 3 :

(1)

A = (2n+1)² - (2n-1)²

A = 4n² + 4n + 1 - (4n² - 4n + 1)

A = 4n² + 4n + 1 - 4n² + 4n - 1

A = 8n

(2)

B = 15² - 13²

B = (14+1)² - (14-1)²

B = (2×7+1)² - (2×7-1)²

B = 8×7

B = 56

C = 221² - 219²

C = (220+1)² - (220-1)²

C = (2×110+1)² - (2×110-1)

C = 8 × 110

C = 880