TeX Quellcode:

{\dfrac{10s+120}{s^2-144} : \dfrac{s^2+24s+144}{\left(s-12\right)\left(s+12\right)} = \dfrac{10\left(s+12\right)}{\left(s+12\right)\left(s-12\right)} \cdot \dfrac{\left(s-12\right)\left(s+12\right)}{s^2+24s+144} = \dfrac{10\left(s+12\right)}{\left(s+12\right)\left(s-12\right)} \cdot \dfrac{\left(s-12\right)\left(s+12\right)}{\left(s+12\right)^2} = \dfrac{10}{s+12}}