What is expand (x^2+1)/(x(x-1)^3) ?

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

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expand (x^2+1)/(x(x-1)^3)

expand

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

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

Solution steps

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

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

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

(e^{- s} - 1)^{2}

(2 lo g_{n} (x) + y)^{2}

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

2 e^{2 (\frac{3}{5} + 1)}

\frac{s}{( s + 2 ) ^{2} ( s ^{2} + 9 )}

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