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

The solution to expand (2s-1)/(s^2(s+1)^3) is (2s-1)/(s^5+3s^4+3s^3+s^2)

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

expand

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

\frac{2 s - 1}{s ^{5} + 3 s ^{4} + 3 s ^{3} + s ^{2}}

Solution steps

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

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

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

Expand

s^{2} (s^{3} + 3 s^{2} + 3 s + 1) : s^{5} + 3 s^{4} + 3 s^{3} + s^{2}

= \frac{2 s - 1}{s ^{5} + 3 s ^{4} + 3 s ^{3} + s ^{2}}

\frac{( s + 1 ) ^{2}}{( s + 2 ) ^{4}}

(3 + i)^{8}

(x^{2} - 3) e^{x}

(2 e^{- 4 t} + sin (t))^{2}

\frac{3 s - 2}{s ^{3} ( s ^{2} + 4 )}

What is expand (2s-1)/(s^2(s+1)^3) ?
The solution to expand (2s-1)/(s^2(s+1)^3) is (2s-1)/(s^5+3s^4+3s^3+s^2)