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Exercice 4 : Factoriser les expressions suivantes. A(x) = x2 + 2x B(x) = 7x(r - 4) + (x - 42 C(r) = 9r2 - 12r - *D(x) = (x + 1)(2r + 5) - (x + 1)(3r - 4) E(x) = 16r2 - 1 *F(x) = 25 - (2x - 1)2 *G(Y) = (2 - x)(3x + 1) + (3r + 1) -​

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Réponse :

A = x² + 2x

A= x(x+2)

B = 7x(x - 4) + (x - 4)

B=(x-4)(7x+1)

C = 9r² - 12r

C= 3r(3r-4)

D = (x + 1)(2r + 5) - (x + 1)(3r - 4)

D=(x+1)(2r-3r+5+4)

D=(x+1)(9-r)

E = 16r² - 1

E=(4r+1)(4r-1)

F = 25 - (2x - 1)²

F=(5+2x-1)(5-2x+1)

F=4(x+2)(3-x)

G = (2 - x)(3r + 1) + (3r + 1)

G=(3r+1)(2-x+1)

G=(3r+1)(3-x)

Explications étape par étape :