Step 1 :Define the expression as \(-9 x y^{5}\left(3 x y^{2}+9 x y-4 x\right)\)
Step 2 :Simplify the expression to get \(x^{2} y^{5}\left(-27 y^{2}-81 y+36\right)\)
Step 3 :So, the simplified form of \(-9 x y^{5}\left(3 x y^{2}+9 x y-4 x\right)\) is \(x^{2} y^{5}\left(-27 y^{2}-81 y+36\right)\)
Step 4 :Hence, the final answer is \(\boxed{x^{2} y^{5}\left(-27 y^{2}-81 y+36\right)}\)