Answer:
[tex]\frac{a-3}{(a-2)(a-6)}[/tex]
Step-by-step explanation:
[tex]a^{2}-3a[/tex] has the common multiple of a. If you factor it out, you get [tex]a(a-3)[/tex].
[tex]a^3-8a^2+12a[/tex] also has a common multiple of a. Once factored, you get [tex]a(a^2-8a+12)[/tex]. This equation can be further factored to get [tex](a-2)(a-6)[/tex].
Put these two expressions over one another and you get [tex]\frac{a-3}{(a-2)(a-6)}[/tex].
