‘write the following question as a whole fraction in its simplest form’

Answer:
[tex]\frac{2x-1}{(x-1)^{2} }[/tex]
Step-by-step explanation
[tex]\frac{2}{x-1}[/tex] + [tex]\frac{1}{(x-1)^{2} }[/tex]
= [tex]\frac{2(x-1)+1}{(x-1)^{2} }[/tex]
[tex]\frac{2x-2+1}{(x-1)^{2} }[/tex]
=[tex]\frac{2x-1}{(x-1)^{2} }[/tex]