What is expand (x^3+1)/(x(x-1)^3) ?

The solution to expand (x^3+1)/(x(x-1)^3) is (x^3+1)/(x^4-3x^3+3x^2-x)

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expand (x^3+1)/(x(x-1)^3)

expand

\frac{x ^{3} + 1}{x ( x - 1 ) ^{3}}

\frac{x ^{3} + 1}{x ^{4} - 3 x ^{3} + 3 x ^{2} - x}

Solution steps

\frac{x ^{3} + 1}{x ( x - 1 ) ^{3}}

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

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

Expand

x (x^{3} - 3 x^{2} + 3 x - 1) : x^{4} - 3 x^{3} + 3 x^{2} - x

= \frac{x ^{3} + 1}{x ^{4} - 3 x ^{3} + 3 x ^{2} - x}

\frac{1}{( x + c ) ( x )}

(y e^{x y} + 2 x - 1) d x + (x e^{x y} - 2 y + 1) d y

(a + i Δ x)^{2}

\frac{d}{d x} ((w (x, y (w, x))) (x^{2} + y (w, x)^{2}))

\frac{1}{( x + 3 ) ^{5}}

What is expand (x^3+1)/(x(x-1)^3) ?
The solution to expand (x^3+1)/(x(x-1)^3) is (x^3+1)/(x^4-3x^3+3x^2-x)