expliquez moi en détail svp le résultat : D = (2/3)² * 3 - (2 - 1/3)²

Salut :)

D = (2/3)² x 3 - (2 - 1/3)²
D = (2/3) x (2/3) x 3 - (2 x 3/1 x 3 - 1/3)²
D = 4/9 x 3 - (6/3 - 1/3)²
D = 12/9 - (5/3)²
D = 12/9 - (5/3) x (5/3)
D = 12/9 - 25/9
D = -13/9

J'espère t'avoir aidé(e)! :)

Bonjour,

D = (2/3)² * 3 - (2 - 1/3)²

[tex]D = (\dfrac{2}{3})^2\times3 - (2 - \dfrac{1}{3})^2\\\\D = (\dfrac{2}{3})^2\times3 - (\dfrac{6}{3} - \dfrac{1}{3})^2\\\\D = (\dfrac{2}{3})^2\times3 - (\dfrac{5}{3})^2\\\\D = \dfrac{4}{9}\times3 - \dfrac{25}{9}\\\\D = \dfrac{12}{9} - \dfrac{25}{9}\\\\\boxed{D = -\dfrac{13}{9}}[/tex]