Răspuns :
x^2-2x-3=(x-3)(x+1)
x^2-6x+9=(x-3)^2 =>
(x-3)(x+1) / (x-3)^2=(x+1) / (x-3)
PS: ^ -putere
/ -supra
x^2-6x+9=(x-3)^2 =>
(x-3)(x+1) / (x-3)^2=(x+1) / (x-3)
PS: ^ -putere
/ -supra
[tex] \frac{ x^{2} -2x-3}{ x^{2} -6x+9}= \frac{(x-3)(x+1)}{(x-3)(x-3)} = \frac{x+1}{x-3} \\ \\ [/tex]
x²-2x-3=x²-3x+x-3=x(x+1)-3(x+1)=(x-3)(x+1)
x²-6x+9=x²-3x-3x+9=x(x-3)-3(x-3)=(x-3)(x-3)
x²-2x-3=x²-3x+x-3=x(x+1)-3(x+1)=(x-3)(x+1)
x²-6x+9=x²-3x-3x+9=x(x-3)-3(x-3)=(x-3)(x-3)