What is expand (x-1)^3dx ?

The solution to expand (x-1)^3dx is x^3dx-3x^2dx+3xdx-dx

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expand (x-1)^3dx

expand

(x - 1)^{3} d x

x^{3} d x - 3 x^{2} d x + 3 x d x - d x

Solution steps

(x - 1)^{3} d x

(x - 1)^{3} = x^{3} - 3 x^{2} + 3 x - 1

= (x^{3} - 3 x^{2} + 3 x - 1) d x

Distribute parentheses

= d x x^{3} + d x (- 3 x^{2}) + d x \cdot 3 x + d x (- 1)

Apply minus-plus rules

+ (- a) = - a

= x^{3} d x - 3 x^{2} d x + 3 x d x - 1 \cdot d x

Multiply:

1 \cdot d x = d x

= x^{3} d x - 3 x^{2} d x + 3 x d x - d x

(t + cos (t))^{2}

\frac{4 ( 3 - 3 )}{3 π}

\frac{4 L ^{3} x}{( x ^{2} + L ^{2} ) ^{2}}

(1200 + 100 x)^{2}

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

What is expand (x-1)^3dx ?
The solution to expand (x-1)^3dx is x^3dx-3x^2dx+3xdx-dx