What is expand (k(s+1))/(s^2(s+10)(s+100)) ?

The solution to expand (k(s+1))/(s^2(s+10)(s+100)) is (ks+k)/(s^4+110s^3+1000s^2)

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expand (k(s+1))/(s^2(s+10)(s+100))

expand

\frac{k ( s + 1 )}{s ^{2} ( s + 10 ) ( s + 100 )}

\frac{k s + k}{s ^{4} + 110 s ^{3} + 1000 s ^{2}}

Solution steps

\frac{k ( s + 1 )}{s ^{2} ( s + 10 ) ( s + 100 )}

Expand

s^{2} (s + 10) (s + 100) : s^{4} + 110 s^{3} + 1000 s^{2}

= \frac{k ( s + 1 )}{s ^{4} + 110 s ^{3} + 1000 s ^{2}}

Expand

k (s + 1) : k s + k

= \frac{k s + k}{s ^{4} + 110 s ^{3} + 1000 s ^{2}}

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

H (x - 2) (t - 2)^{2}

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

(1 - cos (θ))^{2} + sin^{2} (θ)

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What is expand (k(s+1))/(s^2(s+10)(s+100)) ?
The solution to expand (k(s+1))/(s^2(s+10)(s+100)) is (ks+k)/(s^4+110s^3+1000s^2)