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

The solution to expand (dx)/((x-3)^3) is (dx)/(x^3-9x^2+27x-27)

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expand (dx)/((x-3)^3)

expand

\frac{d x}{( x - 3 ) ^{3}}

\frac{d x}{x ^{3} - 9 x ^{2} + 27 x - 27}

Solution steps

\frac{d x}{( x - 3 ) ^{3}}

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

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

- \frac{2 ( 5 x ^{2} + 52 x - 34 )}{( x + 10 ) ( x + 1 ) ( x - 2 )}

(y e^{x y} - 2 y^{3}) d x - (6 x y^{2} + 2 y - x e^{x y}) d y

\frac{2 ( 2 s + 1 + 3 s ^{2} )}{s ( 0.5 s ^{2} + s + 3 )}

\frac{s ^{2} + 4 - e ^{- π s}}{s ( s ^{2} + 9 )}

(2 e^{3 t} - e^{2 t}) (6 e^{3 t} - 2 e^{2 t})

What is expand (dx)/((x-3)^3) ?
The solution to expand (dx)/((x-3)^3) is (dx)/(x^3-9x^2+27x-27)