Réponse :
Explications étape par étape
Bonsoir
Factoriser :
A = 4x^2 + 7x
A = x * 4x + x * 7
[tex]\boxed{A = x(4x + 7)}[/tex]
B = 3x + 7x^2
B = x * 3 + x * 7x
[tex]\boxed{B = x(3 + 7x)}[/tex]
C = 4x^2 - 8x
C = 4x * x - 4x * 2
[tex]\boxed{C = 4x(x - 2)}[/tex]
D = ac - ab + a^2
D = a * c - a * b + a * a
[tex]\boxed{D = a(c - b + a)}[/tex]
E = 5x^3 - x^2 + 8x
E = x * 5x^2 - x * x + x * 8
[tex]\boxed{E = x(5x^2 - x + 8)}[/tex]
F = 2x(5x + 3) - 3x(3 + 5x)
[tex]F = 2x\bf{(5x + 3)} - 3x\bf{(3 + 5x)}[/tex]
[tex]F = \bf{(5x + 3)}(2x - 3x)[/tex]
[tex]\boxed{F = -x(5x + 3)}[/tex]
G = (x - 1)(x + 2) + (x + 2)(x - 3)
[tex]G = (x - 1)\bf{(x + 2)} + \bf{(x + 2)}(x - 3)[/tex]
[tex]G = \bf{(x + 2)}(x - 1 + x - 3)[/tex]
G = (x + 2)(2x - 4)
G = (x + 2) * 2(x - 2)
[tex]\boxed{G = 2(x + 2)(x - 2)}[/tex]
H = 7x^2/4 - 49x
H = 7x * x/4 - 7x * 7
[tex]\boxed{H = 7x(x/4 - 7)}[/tex]
