Answer:
[tex] \frac{2(6s - 7)}{t}[/tex]
Step-by-step explanation:
[tex] \frac{6 {s}^{2} + 5s - 14}{st} \div \frac{s + 2}{2s} \\ \\ = \: \frac{6 {s}^{2} + 12s - 7s- 14}{st} \times \frac{2s}{s + 2} \\ \\ = \: \frac{6s( {s} + 2) - 7(s + 2)}{ \cancel{s}t} \times \frac{2 \cancel{s}}{s + 2} \\ \\ = \: \frac{ \cancel{( {s} + 2)} (6s- 7)}{ t} \times \frac{2 }{ \cancel{( {s} + 2)}} \\ \\ = \: \huge \red{ \frac{2(6s - 7)}{t} }[/tex]
