What is expand dx(5t-2)^4 ?

The solution to expand dx(5t-2)^4 is 625t^4dx-1000t^3dx+600t^2dx-160tdx+16dx

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expand dx(5t-2)^4

expand

d x (5 t - 2)^{4}

625 t^{4} d x - 1000 t^{3} d x + 600 t^{2} d x - 160 t d x + 16 d x

Solution steps

d x (5 t - 2)^{4}

(5 t - 2)^{4} = 625 t^{4} - 1000 t^{3} + 600 t^{2} - 160 t + 16

= d x (625 t^{4} - 1000 t^{3} + 600 t^{2} - 160 t + 16)

Distribute parentheses

= d x \cdot 625 t^{4} + d x (- 1000 t^{3}) + d x \cdot 600 t^{2} + d x (- 160 t) + d x \cdot 16

Apply minus-plus rules

+ (- a) = - a

= 625 t^{4} d x - 1000 t^{3} d x + 600 t^{2} d x - 160 t d x + 16 d x

x - (x^{2} + 4 x + 3) \cdot e^{- x}

(t^{2} - t + 5) H (t - 2)

(3 y + x^{4}) d x - x d y

\frac{5 x - 4}{3 x ( x - 1 )}

\frac{\partial}{\partial x} ((z) (x^{2} + z^{2}))

What is expand dx(5t-2)^4 ?
The solution to expand dx(5t-2)^4 is 625t^4dx-1000t^3dx+600t^2dx-160tdx+16dx