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

The solution to expand (s^2+3)/(s(s+2)^2(s+1)) is (s^2+3)/(s^4+5s^3+8s^2+4s)

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

expand

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

\frac{s ^{2} + 3}{s ^{4} + 5 s ^{3} + 8 s ^{2} + 4 s}

Solution steps

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

(s + 2)^{2} = s^{2} + 4 s + 4

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

Expand

s (s^{2} + 4 s + 4) (s + 1) : s^{4} + 5 s^{3} + 8 s^{2} + 4 s

= \frac{s ^{2} + 3}{s ^{4} + 5 s ^{3} + 8 s ^{2} + 4 s}

(13 + x) (13 - x)

\frac{3 x ^{3} - x ^{2} + 6 x - 4}{( x ^{2} + 1 ) ( x ^{2} + 2 )}

(x^{\frac{1}{3}} - \frac{2}{3})^{6}

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

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

What is expand (s^2+3)/(s(s+2)^2(s+1)) ?
The solution to expand (s^2+3)/(s(s+2)^2(s+1)) is (s^2+3)/(s^4+5s^3+8s^2+4s)