Comment factoriser (x-1)²-(x-3)² svp
Mathématiques
nevel852
Question
Comment factoriser (x-1)²-(x-3)² svp
2 Réponse
-
1. Réponse Anonyme
bonsoir
( x - 1)² - ( x - 3)² = identité remarquable
( x - 1 + x - 3 ) ( x - 1 - x + 3) = ( 2 x - 4) (2) = 2 ( 2 x - 4)
-
2. Réponse croisierfamily
A² - B² = ( A - B ) ( A + B ) ♥
donc (x-1)² - (x-3)² = [ x-1 - (x-3) ] * [ x-1 + x-3 ] = [ x-1-x+3 ] * [ 2x-4 ] = 2 * 2 * [ x - 2 ]
= 4 ( x - 2 ) .