FACTORISER PAR LES TROIS ÉGALITÉS REMARQUABLES.

Réponse :

Explications étape par étape

Bonjour

A = x^2 + 2x + 1

A = (x + 1)^2

B = 25x^2 - 30x + 9

B = (5x)^2 - 2 * 5x * 3 + 3^2

B = (5x - 3)^2

C = 36x^2 - 49

C = (6x)^2 - 7^2

C = (6x - 7)(6x + 7)

D = 4x^2 + 20x + 25

D = (2x)^2 + 2 * 2x * 5 + 5^2

D = (2x + 5)^2

E = 100x^2 - 9

E = (10x)^2 - 3^2

E = (10x - 3)(10x + 3)

F = 28x + 4x^2 + 49

F = 2 * 2x * 7 + (2x)^2 + 7^2

F = (2x + 7)^2

G = (x + 2)^2 - 25

G = (x + 2)^2 - 5^2

G = (x + 2 - 5)(x + 2 + 5)

G = (x - 3)(x + 7)

H = 36 - (x + 1)^2

H = 6^2 - (x + 1)^2

H = (6 - x - 1)(6 + x - 1)

H = (-x + 5)(x + 5)

I = (3x + 2)^2 - (x - 7)^2

I = (3x + 2 - x + 7)(3x + 2 + x - 7)

I = (2x + 9)(4x - 5)