Bonjour j’aurais besoin d’aide svp Factorisation niveau 2nd ( * = au carrée ) 1.L(x) = 3(x+2)-(x+2)* 2.M(x) = x* - 2x 3.N(x) = -1+4x* 4.O(x) = 49-25x* 5.P(x) =

Bonjour !

L(x) = 3(x+2)-(x+2)²

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

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

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

= (x + 2)(1 - x)

M(x) = x² - 2x

= x*x - 2x*

= x(x - 2)

N(x) = -1+4x²

= -1 * (1 - 4x²)

= -1 * (1² - (2x)² )

= -1 * (1-2x)(1+2x)

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

O(x) = 49-25x²

= 7² - (5x)²

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

P(x) = 9x-25x²

= x*9 - x * 25x

= x(9 - 25x)

Q(x) = (2x-3)(x+2)+x(2x-3)

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

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

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

= 2(2x - 3)(x + 1)

Voilà !