Réponse :
Bonsoir
Explications étape par étape
D=(2x+1)(x+3)+5(2x+1)= (2x + 1)(x + 3 + 5) = (2x+1)(x+8)
E=9x²-12x+4= (3x)² - 2 * 3x * 2 + 2² = (3x-2)²
F=(5x-2)²-(x+3)²= (5x - 2 - x - 3)(5x - 2 + x + 3) = (6x+1)(4x-5)
G=x²+x(x-4)=x(x + x - 4) = x(2x-4)
H=4(2x+5)+(6-4x)(2x+5)=(2x + 5)(4 + 6 - 4x) = (2x+5)(-4x+10) = (2x + 5) * 2(-2x + 5) = 2(5 + 2x)(5 - 2x)
I=(x+7)²-36= (x + 7)² - 6² = (x + 7 - 6)(x + 7 + 6) = (x+13)(x+1)
J=4x²+8x+4= 4(x² + 2x + 1) = 4(x+1)²
K=(x+13)(x+1)-4(x+1)²= (x + 1)(x + 13 - 4(x + 1)) = (x + 1)(x + 13 - 4x - 4) = (x+1)(-3x+9) = (x + 1) * 3(-x + 3) = 3(x + 1)(-x + 3)
