Solve s(t)=(3+t^{2})^5(4t^2-7/t^6)^3

$$s ( t ) = ( 3 + t ^ { 2 } ) ^ { 5 } ( 4 t ^ { 2 } - \frac { 7 } { t ^ { 6 } } ) ^ { 3 }$$

Evaluate

$$\frac{\left(t^{2}+3\right)^{5}\left(4t^{8}-7\right)^{3}}{t^{18}}$$

Expand

$$64t^{16}+960t^{14}+5760t^{12}+17280t^{10}+25584t^{8}+10512t^{6}-30240t^{4}-90720t^{2}-135492-\frac{72828}{t^{2}}+\frac{52920}{t^{4}}+\frac{158760}{t^{6}}+\frac{237797}{t^{8}}+\frac{137739}{t^{10}}-\frac{30870}{t^{12}}-\frac{92610}{t^{14}}-\frac{138915}{t^{16}}-\frac{83349}{t^{18}}$$