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]