Sagot :
Bonsoir
D = (x-2)(x-2)-2
D = (x-2)(x-2-2)
D = (x-2)(x-4)
D = (x²-4x+4) -(2x-4)
D = x²-4x-4-2x+4
D = x² -6x
Factoriser:
[tex]D = (x-2)^2-2(x-2) \\D = (x-2)(x-2)-2(x-2) \\D=(x-2)(x-2-2) \\D=(x-2)(x-4)[/tex]
Developper et réduire:
[tex]D = (x-2)(x-4) \\D=x^2-4x-2x+8 \\D=x^2-6x+8[/tex]