Exercice 2 :
Factorisez les expressions suivantes :
A= 5x2 + 25x
B = 4x (x+3) - 2(x+3)
C =(3x-5)(x+1)+ (x+1)(7x+3)
Bonus : D = (5x+2) + (5x+2) (x+4)
E = (2x+1)2 + x(2x+1)

Merci d’avance


Sagot :

Bonjour,

A= 5x² + 25x=

5x( x + 5)

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

(x+3) ( 4x -2)

C =(3x-5)(x+1)+ (x+1)(7x+3)

(x+1) ( 3x-5 +7x+3)=

(x+1) ( 10x -2)

Bonus : D = (5x+2) + (5x+2) (x+4)

(5x+2) ( 1+x+4) =

(5x+2) ( x+5)

E = (2x+1)² + x(2x+1)

(2x+1)(2x+1 +x)=

(2x+1)( 3x+1)