Answered

Bonjour, pouvez- vous m'aider svp.

36 Factoriser les expressions suivantes.
A = (2x + 3)(-4x + 1) + (2x + 3)(8 - x)
B = (4 - 5x)(8x + 1) – (4 - 5x)(7x – 5)
C = (7 - 2x)(4 + 3x) + (2 - 7x)(3x + 4)
D = (9x – 4)(2x + 1) + (9x - 4)2
E = (2x - 9)(x – 7) + 3(2x - 9)
F = 3(7x + 1)(4 - 2x) + (5 - x)(7x + 1)​

Sagot :

INEQUATION

Bonjour,

Factoriser les expressions:

A = (2x + 3)(-4x + 1) + (2x + 3)(8 - x)

(2x+3)(-4x+1+8-x)= (2x+3)(-5x+9)= - (2x+3)(5x-9)

B = (4 - 5x)(8x + 1) – (4 - 5x)(7x – 5)

(4-5x)(8x+1-7x+5)= (4-5x)(x+6)= -(5x-4)(x+6)

C = (7 - 2x)(4 + 3x) + (2 - 7x)(3x + 4)

(3x+4)(7-2x+2-7x)= (3x+4)(-9x+9)= -9 (3x+4)(x-1)

D = (9x – 4)(2x + 1) + (9x - 4)2

(9x-4)(2x+1+9x-4)= (9x-4)(11x-3)

E = (2x - 9)(x – 7) + 3(2x - 9)

(2x-9)(x-7+3)= (2x-9)(x-4)

F = 3(7x + 1)(4 - 2x) + (5 - x)(7x + 1)​

(7x+1)[ 3(4-2x)+5-x ]= (7x+1)(12-6x+5-x)= (7x+1)(-7x+17)= -(7x+1)(7x-17)