Réponse :
Explications étape par étape
Bonjour
En repérant un facteur commun, factoriser les expressions suivantes:
A)= 7x - 7y
= 7 * x - 7 * y
= 7(x - y)
B)= 27x - 18y
= 9 * 3x - 9 * 2y
= 9(3x - 2y)
C)= (x + 2) (x - 1) + (3x + 5) (x + 2)
= (x + 2)(x - 1 + 3x + 5)
= (x + 2)(4x + 4)
= (x + 2) * 4(x + 1)
= 4(x + 2)(x + 1)
D)= 7 (5 - x ) - (2x + 3) (5 - x)
= (5 - x)(7 - 2x - 3)
= (5 - x)(-2x + 4)
= (5 - x) * 2(-x + 2)
= 2(5 - x)(-x + 2)
E)= (3x + 1) (x + 4) - (2x - 5) (x + 4)
= (x + 4)(3x + 1 - 2x + 5)
= (x + 4)(x + 6)
F)= ( 7x - 3 )² - x( 7x - 3)
= (7x - 3)(7x - 3 - x)
= (7x - 3)(6x - 3)
= (7x - 3) * 3(2x - 1)
= 3(7x - 3)(2x - 1)
G)= ( 2 - x) - ( 2 - x)^2
= (2 - x)(1 - 2 + x)
= (2 - x)(x - 1)
H)= 6x ( x + 4 ) + 2 ( x - 2) ( x + 4)
= (x + 4)(6x + 2(x - 2))
= (x + 4)(6x + 2x - 4)
= (x + 4)(8x - 4)
= (x + 4) * 4(2x - 1)
= 4(x + 4)(2x - 1)
