Ta có: \(\dfrac{x^3-25x}{x^4+125x}\left(x\ne0;x\ne-5\right)\)
\(=\dfrac{x\left(x^2-25\right)}{x\left(x^3+125\right)}\)
\(=\dfrac{x^2-25}{x^3+125}\)
\(=\dfrac{\left(x+5\right)\left(x-5\right)}{\left(x+5\right)\left(x^2-5x+25\right)}\)
\(=\dfrac{x-5}{x^2-5x+25}\left(đpcm\right)\)