If the domain of the function \(f(x)=\frac{\sqrt{x^2-25}}{\left(4-x^2\right)}+\log _{10}\left(x^2+2 x-15\right)\) is \((…

If the domain of the function \(f(x)=\frac{\sqrt{x^2-25}}{\left(4-x^2\right)}+\log _{10}\left(x^2+2 x-15\right)\) is \((-\infty, \alpha) \cup[\beta, \infty)\), then \(\alpha^2+\beta^3\) is equal to :

[JEE Main 2024, 1 Feb (Shift 2)]