The value of ( 243 )^n/5 × 3^2n + 19^n × 3^n - 1 is?

Answer: Option B

$$\begin{array}{rl}& \frac{{\left(243\right)}^{\frac{n}{5}}\times 3^{2n+1}}{9^n\times 3^{n-1}}\\ & \Rightarrow \frac{3^{5\times \frac{n}{5}}\times 3^{2n+1}}{3^{2n}\times 3^{n-1}}\\ & \Rightarrow \frac{3^n\times 3^{2n+1}}{3^{2n}\times 3^{n-1}}\\ & \Rightarrow \frac{3^{n+2n+1}}{3^{2n+n-1}}\\ & \Rightarrow \frac{3^{3n+1}}{3^{3n-1}}\\ & \Rightarrow 3^{\left(3n+1\right)-\left(3n-1\right)}\\ & \Rightarrow 3^{3n+1-3n+1}\\ & \Rightarrow 3^2\\ & \Rightarrow 9\end{array}$$