Question

u
u+1+ -----
u+1

to: (u+1)(u+1)+u
-----------
u+1

How?

Answer 1

\[
u+1 = \frac{u+1}{u+1}\cdot (u+1) = \frac{(u+1)^2}{u+1}
\]

Answer 2

So \[
u+1+\frac{u}{u+1} = \frac{(u+1)^2}{u+1}+\frac{u}{u+1} = \frac{(u+1)^2+u}{u+1}
\]

Answer 3

Thank you very much, wio!