Bonjour, J'ai besoin d'aide pour cet exercice. Factorisez les expressions suivantes : I = 25x²-9+(5x-3)(7x+8) J = 9-48x+64x²-(6x+2x)(3-8x) K = 100x²-25-(20x+10)

Bjr

I = 25x²-9+(5x-3)(7x+8)

I = (5x-3)(5x+3)+(5x-3)(7x+8)

I = (5x-3)(5x+3+7x+8)

I = (5x-3)(12x+3+8)

I = (5x-3)(12x+11)

J = 9-48x+64x²-(6x+2x)(3-8x)

J = (3-8x)²-(6x+2x)(3-8x)

J = (3-8x)²+(-6x-2x)(3-8x)

J = (3-8x)(3-8x-6x-2x)

J = (3-8x)(3-16x)

K = (10x-5)(10x+5)+2(10x+5)(2x-4)

K = (10x+5)[(10x-5)+2(2x-4)]

K = (10x+5)[(10x-5)+4x-8]

K = (10x+5)(10x-5+4x-8)

K = (10x+5)(14x-13)

L = (2x-3)(4x+2)+(4x+2)(7x-8)

L = (4x+2)(2x-3+7x-8)

L = 2(2x+1)(2x-3+7x-8)

L = 2(2x+1)(9x-3-8)

L = 2(2x+1)(9x-11)

Voilà !