Bonjour
Factoriser les expressions suivantes :
A = (x + 1)(3-X) + (x + 1)(2 + 5x)
A = [tex]\bf{(x + 1)}[/tex](3 - x) + [tex]\bf{(x + 1)[/tex](2 + 5x)
A = (x + 1)(3 - x + 2 + 5x)
[tex]\bf{A = (x + 1)(4x + 5)}[/tex]
B = (x + 2)(x + 1) + (x + 2)(7x-5)
B = [tex]\bf{(x + 2)}[/tex](x + 1) + [tex]\bf{(x + 2)}[/tex](7x - 5)
B = (x + 2)(x + 1 + 7x - 5)
B = (x + 2)(8x - 4)
B = (x + 2) * 4(2x - 1)
[tex]\bf{4(x + 2)(2x - 1)[/tex]
C = (x + 3)(3-2x) - (x + 3)(5 + x)
C = [tex]\bf{(x + 3)}[/tex](3 - 2x) - [tex]\bf{(x + 3)}[/tex](5 + x)
C = (x + 3)(3 - 2x - 5 - x)
[tex]C = (x + 3)(-3x - 2)[/tex]
D= (2x + 1)(x - 5)-(3x + 1)(2x + 1)
D = [tex]\bf{(2x + 1)}[/tex](x - 5) - (3x + 1)[tex]\bf{(2x + 1)}[/tex]
D = (2x + 1)(x - 5 - 3x - 1)
D = (2x + 1)(-2x - 6)
D = (2x + 1) * (-2)(x + 3)
[tex]\bf{D = (-2)(2x + 1)(x + 3)[/tex]
E = (x-6)(2-x)-(2-x)(3 + 4x)
E = (x - 6)[tex]\bf{(2 - x)}[/tex] - [tex]\bf{(2 - x)}[/tex](3 + 4x)
E = (2 - x)(x - 6 - 3 - 4x)
E = (2 - x)(-3x - 9)
E = (2 - x) * (-3)(x + 3)
[tex]\bf{E = (-3)(2 - x)(x + 3)}[/tex]
