👤

Factoriser les expressions suivantes:
A=4y-36
B= 5x-5
C=(2x+1) (2x+5)+3 (2x+1)
D= (x+4) (6-x) - (x+4) (7-2x)
E= (7x-2) (5x-1) + (3x-4) (5x-1)
F= 81x^2 - 54x + 9
G= 25-36x^2
H= 100+60y+9y^2
I= (2x-5) (3x+8) - (3x+8)^2
J= (5x+4)^2 - 81

Merci d'avance!


Répondre :

Bonjour,

A=4y-36 =4(y-9)

B= 5x-5 =5(x-1)

C=(2x+1) (2x+5)+3(2x+1) =(2x+1)((2x+5)+3)=(2x+1)(2x+8)=(2x+1)(x+4)*2

D=(x+4)(6-x)-(x+4)(7-2x) =(x+4)((6-x)-(7-2x))=(x+4)(x-1)

E=(7x-2)(5x-1)+(3x-4)(5x-1) =(5x-1)((7x-2)+(3x-4))=(5x-1)(10x-6)=(5x-1)(5x-3)*2

F=81x²-54x+9 =(9x-3)²

G=25-36x² =(5-6x)(5+6x)

H=100+60y+9y² =(10+3*y)²

I=(2x-5)(3x+8)-(3x+8)²=(3x+8)((2x-5)-(3x+8)=(3x+8)(-x-13)

J=(5x+4)²-81=(5x-5)(13+5x)