CALCUL LITTERAL

3

CALCUL LITTERAL

Pascaldorr © www.maths974.fr

Exercice 1 : Développer en utilisant l’identité remarquable (a + b)² = a² + 2ab + b² A = (x + 2) ² =

B = (3 + x) ² = C = (7x + 4) ² =

D = (2 + 3x) ² = 2² + 2 x 2 x 3x + (3x)² = 4 + 12x + 9x² E = (5x+ 6) ² =

F = (3x + 4y) ² =

Exercice 2 : Développer en utilisant l’identité remarquable (a – b) ²= a²– 2ab + b² G = (x – 2) ² =

H = (5 – x) ² = I = (2x – 1) ² = J = (3 – 5x) ² =

K = (7x – 2) ² = (7x)² - 2 x 7x x 2 + 2² = 49x² - 28x + 4 L = (2x – 5y)² =

Exercice 3 : Développer en utilisant l’identité remarquable (a + b)(a – b) = a² – b²

M = (x +2)(x – 2) =

N = (5 – x)(5 + x) =

O = (5 + 3x)(5 – 3x) = 5² - (3x)² = 25 - 9x² P = (3x – 2)(3x + 2) =

Q = (4x + 3)(4x – 3) =

Exercice 4 : Compléter en couleur en utilisant l’identité remarquable qui convient : R = (x + ….) ² = …… + 2 × ….. × ….. + 25

S = (…. – 9) ² = 4x ² – 2 × ….. × ….. + ….

T = (3x + …. ) (…. – …. ) = …… – 64

U = (5x – ….) ² = …… – ………..+ 16

Exercice 5 :Développer en utilisant l’identité remarquable qui convient :

V = (x + 4) ² =

W = (2 – x) ² =

X = (3x – 2) ² =

Y = (7x + 5) ² =

Z = (5x + 6)(5x – 6) =