Đặt \(\frac{x}{3}=\frac{y}{5}=k\left(k≠0\right)\Rightarrow\hept{\begin{cases}x=3k\\y=5k\end{cases}}\Rightarrow A=\frac{5\left(3k\right)^2+3\left(5k\right)^2}{10\left(3k\right)^2-3\left(5k\right)^2}\)
\(\Rightarrow A=\frac{45k^2+75k^2}{90k^2-75k^2}=\frac{120k^2}{15k^2}=8\left(\text{do k ≠ 0}\right)\)