test234 math latex

$$\frac{b}{{{s}^{2}}+{{b}^{2}}}+\frac{a}{{{s}^{2}}+{{a}^{2}}}+\frac{1}{s+1}$$

$$\frac{{{s}^{4}}+\left( b+a\right) \, {{s}^{3}}+\left( {{b}^{2}}+b+{{a}^{2}}+a\right) \, {{s}^{2}}+\left( a\, {{b}^{2}}+{{a}^{2}} b\right) s+\left( {{a}^{2}}+a\right) \, {{b}^{2}}+{{a}^{2}} b}{{{s}^{5}}+{{s}^{4}}+\left( {{b}^{2}}+{{a}^{2}}\right) \, {{s}^{3}}+\left( {{b}^{2}}+{{a}^{2}}\right) \, {{s}^{2}}+{{a}^{2}}\, {{b}^{2}} s+{{a}^{2}}\, {{b}^{2}}}$$

inverse laplace:

$$\sin{\left( b t\right) }+\sin{\left( a t\right) }+{{e}^{-t}}$$

funzt.