What is expand (5x-3)^4dx ?

The solution to expand (5x-3)^4dx is 625x^4dx-1500x^3dx+1350x^2dx-540xdx+81dx

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expand (5x-3)^4dx

expand

(5 x - 3)^{4} d x

625 x^{4} d x - 1500 x^{3} d x + 1350 x^{2} d x - 540 x d x + 81 d x

Solution steps

(5 x - 3)^{4} d x

(5 x - 3)^{4} = 625 x^{4} - 1500 x^{3} + 1350 x^{2} - 540 x + 81

= (625 x^{4} - 1500 x^{3} + 1350 x^{2} - 540 x + 81) d x

Distribute parentheses

= d x \cdot 625 x^{4} + d x (- 1500 x^{3}) + d x \cdot 1350 x^{2} + d x (- 540 x) + d x \cdot 81

Apply minus-plus rules

+ (- a) = - a

= 625 x^{4} d x - 1500 x^{3} d x + 1350 x^{2} d x - 540 x d x + 81 d x

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

(A + B^{^{'}}) (A + B + C)

\frac{( x ^{3} )}{( x - 1 ) ^{2}}

\frac{3 a ^{2} ( b - a ) ^{2}}{2}

2 (x + 2 - 2 ln (x + 2))

What is expand (5x-3)^4dx ?
The solution to expand (5x-3)^4dx is 625x^4dx-1500x^3dx+1350x^2dx-540xdx+81dx