\(\dfrac{b}{a}+\dfrac{-b}{a+1}=\dfrac{b\left(a+1\right)}{a\left(a+1\right)}+\dfrac{-ab}{a\left(a+1\right)}=\dfrac{ab+b-ab}{a\left(a+1\right)}=\dfrac{b}{a\left(a+1\right)}\)
\(\dfrac{b}{a}+\dfrac{-b}{a+1}=\dfrac{ba+b-ab}{a\left(a+1\right)}=\dfrac{b}{a\left(a+1\right)}\)

