Answer:
2/(x-3)^2
Step-by-step explanation:
Factor x^2-6x+9: (x-3)^2
Adjust fractions based on LCM:
[tex]((x^{2} -4x+1)/(x-3)^2)-((x-1)(x-3/(x-3)^2[/tex]
Combine Fractions b/c denominators are equal:
[tex]x^2-4x+1-(x-1)(x-3)/(x-3)^2[/tex]
Expand and simplify