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

The solution to expand (3t-1)^3dx is 27t^3dx-27t^2dx+9tdx-dx

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expand (3t-1)^3dx

expand

(3 t - 1)^{3} d x

27 t^{3} d x - 27 t^{2} d x + 9 t d x - d x

Solution steps

(3 t - 1)^{3} d x

(3 t - 1)^{3} = 27 t^{3} - 27 t^{2} + 9 t - 1

= (27 t^{3} - 27 t^{2} + 9 t - 1) d x

Distribute parentheses

= d x \cdot 27 t^{3} + d x (- 27 t^{2}) + d x \cdot 9 t + d x (- 1)

Apply minus-plus rules

+ (- a) = - a

= 27 t^{3} d x - 27 t^{2} d x + 9 t d x - 1 \cdot d x

Multiply:

1 \cdot d x = d x

= 27 t^{3} d x - 27 t^{2} d x + 9 t d x - d x

(3 x + 3) (3 x - 3)

\frac{1}{( 8 + x ) ^{2}}

\frac{( x + 1 ) ^{2}}{x}

\frac{3 s - 2}{( s - 2 ) ( s ^{2} + 3 )}

(x^{3} + x y^{2} - y) d x + (y^{3} + x^{2} y + x) d y

What is expand (3t-1)^3dx ?
The solution to expand (3t-1)^3dx is 27t^3dx-27t^2dx+9tdx-dx