Answer:
[tex](a^2+b^2-2a)/(ab-2b)[/tex]
Step-by-step explanation:
[tex]a/b+b/\left(a-2\right)[/tex]
Multiply by LCM.
[tex]a(a-2)/b(a-2) + b(b)/b(a-2)[/tex]
Add since denominators are equal.
[tex](a(a-2)+b(b))/b(a-2)[/tex]
Expand the brackets.
[tex](b^2+a^2-2a)/(ab-2b)[/tex]