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

The solution to expand (5-3x)^3dx is 125dx-225xdx+135x^2dx-27x^3dx

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expand (5-3x)^3dx

expand

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

125 d x - 225 x d x + 135 x^{2} d x - 27 x^{3} d x

Solution steps

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

(5 - 3 x)^{3} = 125 - 225 x + 135 x^{2} - 27 x^{3}

= (- 27 x^{3} + 135 x^{2} - 225 x + 125) d x

Distribute parentheses

= d x \cdot 125 + d x (- 225 x) + d x \cdot 135 x^{2} + d x (- 27 x^{3})

Apply minus-plus rules

+ (- a) = - a

= 125 d x - 225 x d x + 135 x^{2} d x - 27 x^{3} d x

5 + 3 x^{2} - \frac{3}{3} \cdot 2 + \frac{( 5 + 7 )}{2}

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

\frac{2 ( x + i y ) ^{2}}{( x + i y ) ^{2} - 1}

\frac{2 ( 5 - 2 \cdot 5 ^{\frac{1}{2}} )}{5}

\frac{x + 7}{( x + 2 ) ^{2}}

What is expand (5-3x)^3dx ?
The solution to expand (5-3x)^3dx is 125dx-225xdx+135x^2dx-27x^3dx