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

The solution to expand (s^3+3s^2+2s-1)/((s+2)^3(s+1)) is (s^3+3s^2+2s-1)/(s^4+7s^3+18s^2+20s+8)

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

expand

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

\frac{s ^{3} + 3 s ^{2} + 2 s - 1}{s ^{4} + 7 s ^{3} + 18 s ^{2} + 20 s + 8}

Solution steps

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

(s + 2)^{3} = s^{3} + 6 s^{2} + 12 s + 8

= \frac{s ^{3} + 3 s ^{2} + 2 s - 1}{( s ^{3} + 6 s ^{2} + 12 s + 8 ) ( s + 1 )}

Expand

(s^{3} + 6 s^{2} + 12 s + 8) (s + 1) : s^{4} + 7 s^{3} + 18 s^{2} + 20 s + 8

= \frac{s ^{3} + 3 s ^{2} + 2 s - 1}{s ^{4} + 7 s ^{3} + 18 s ^{2} + 20 s + 8}

(a - 7 x) \cdot (a + 7 x)

\frac{( ( 2 x - 1 ) e ^{\frac{1}{x}} )}{5}

\frac{5 ( 2 v - u ^{2} )}{u ^{3} v ^{3}}

(x - 1 + 32) (x - 1 - 32)

What is expand (s^3+3s^2+2s-1)/((s+2)^3(s+1)) ?
The solution to expand (s^3+3s^2+2s-1)/((s+2)^3(s+1)) is (s^3+3s^2+2s-1)/(s^4+7s^3+18s^2+20s+8)