IDENTITES REMARQUABLES ~ Calculer sans calculatrice : A= 999999² B= 1000002² C= 1004² D= 999999998×1000000002 E= 65189678×65189682-65189680² F= ([tex] \frac{3}{

A= 999999²
A = (1000000 - 1)²
A = 1000000² + 1² + 2 x 1000000
A = 1000000000000 + 1 - 2000000
A = 999998000001

B = 1000002²
B = (100000 + 2)²

C = 1004²
C = (100 + 4)²

D = 999999998 ×1000000002
D = (1000000000 - 2) x (1000000000 + 2)
D = - 4

E= 65189678 × 65189682 - 65189680²
E = (65189680 - 2) x (65189680 + 2) - 65189680²
E = 65189 680 ² - 2² - 65189 680²
E = 4

F = (3/5 + 2/5)²
F = (5/5)²
F = 1