Find the derivative of the function. y=(5x-2)^4(4x^2-5)^-3 y'=□

Take the derivative: $$y' = \frac{d}{d x} (5 x - 2)^{4} (4 x^{2} - 5)^{- 3}$$
Apply the product rule: $$y' = (5 x - 2)^{4} \times \frac{d}{d x} (4 x^{2} - 5)^{- 3} + (4 x^{2} - 5)^{- 3} \times \frac{d}{d x} (5 x - 2)^{4}$$
Evaluate the derivative separately: $$y' = (5 x - 2)^{4} (- \dfrac{24 x}{(4 x^{2} - 5)^{4}}) + (4 x^{2} - 5)^{- 3} \times 20 (5 x - 2)^{3}$$
Simplify: $$y' = \dfrac{- 40 x^{2} (5 x - 2)^{3} + 48 x (5 x - 2)^{3} - 100 (5 x - 2)^{3}}{(4 x^{2} - 5)^{4}}$$