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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

e^{((- 3 + 5 \cdot I) \cdot x)}

\frac{2 ( ab + a c + b c )}{ab c}

\frac{( 2 x ) !}{x ! ^{2} ( x + 1 )}

4 x 4 - 3 x 2 + 2 x

x (a + b + x = 0)

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