Respuesta :

Answer:

The factors of the given equation are:

[tex]x^2-6x+9=(x-3)(x-3)=(x-3)^2[/tex]

Step-by-step explanation:

We have :

[tex]x^2-6x+9[/tex]

Using middle term splitting theorem to factorize the expression :

[tex]x^2-3x-3x+9[/tex]

[tex]x(x-3)+(-3)(x-3)[/tex]

[tex](x-3)(x-3)[/tex]

[tex]x^2-6x+9=(x-3)(x-3)=(x-3)^2[/tex]

The factors of the given equation are:

[tex]x^2-6x+9=(x-3)(x-3)=(x-3)^2[/tex]