Question

WILL MARK BRANLIST!!! Perform the indicated operation of multiplication or division on the rational expressions and simplify.

Answer 1

`(2(6s - 7))/(t)`

Explanation:

`\frac{6 {s}^(2) + 5s - 14}{st} / (s + 2)/(2s) \\ \\ = \: \frac{6 {s}^(2) + 12s - 7s- 14}{st} * (2s)/(s + 2) \\ \\ = \: \frac{6s( {s} + 2) - 7(s + 2)}{ \cancel{s}t} * \frac{2 \cancel{s}}{s + 2} \\ \\ = \: \frac{ \cancel{( {s} + 2)} (6s- 7)}{ t} * \frac{2 }{ \cancel{( {s} + 2)}} \\ \\ = \: \huge \red{ (2(6s - 7))/(t) }`