What is expand (3-2x)^3dx ?

The solution to expand (3-2x)^3dx is 27dx-54xdx+36x^2dx-8x^3dx

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expand (3-2x)^3dx

expand

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

27 d x - 54 x d x + 36 x^{2} d x - 8 x^{3} d x

Solution steps

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

(3 - 2 x)^{3} = 27 - 54 x + 36 x^{2} - 8 x^{3}

= (- 8 x^{3} + 36 x^{2} - 54 x + 27) d x

Distribute parentheses

= d x \cdot 27 + d x (- 54 x) + d x \cdot 36 x^{2} + d x (- 8 x^{3})

Apply minus-plus rules

+ (- a) = - a

= 27 d x - 54 x d x + 36 x^{2} d x - 8 x^{3} d x

2 \cdot (\frac{x}{3} - \frac{1}{4})

(a - 2) (3 + 6)

\frac{3 x ( x - 6 )}{5 x ^{2} - 34 x - 7}

e^{π (1 + i)}

y^{2} (\frac{y ^{\frac{3}{2}}}{3} - \frac{y ^{3}}{24})

What is expand (3-2x)^3dx ?
The solution to expand (3-2x)^3dx is 27dx-54xdx+36x^2dx-8x^3dx