What is expand (3s+1)/((s+4)^3(s^2+s+2.5)) ?

The solution to expand (3s+1)/((s+4)^3(s^2+s+2.5)) is (3s+1)/(s^5+13s^4+62.5s^3+142s^2+184s+160)

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expand (3s+1)/((s+4)^3(s^2+s+2.5))

expand

\frac{3 s + 1}{( s + 4 ) ^{3} ( s ^{2} + s + 2.5 )}

\frac{3 s + 1}{s ^{5} + 13 s ^{4} + 62.5 s ^{3} + 142 s ^{2} + 184 s + 160}

Solution steps

\frac{3 s + 1}{( s + 4 ) ^{3} ( s ^{2} + s + 2.5 )}

(s + 4)^{3} = s^{3} + 12 s^{2} + 48 s + 64

= \frac{3 s + 1}{( s ^{3} + 12 s ^{2} + 48 s + 64 ) ( s ^{2} + s + 2.5 )}

Expand

(s^{3} + 12 s^{2} + 48 s + 64) (s^{2} + s + 2.5) : s^{5} + 13 s^{4} + 62.5 s^{3} + 142 s^{2} + 184 s + 160

= \frac{3 s + 1}{s ^{5} + 13 s ^{4} + 62.5 s ^{3} + 142 s ^{2} + 184 s + 160}

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

(e^{3 t} + e^{- 3 t})^{2}

(x + y i)^{5}

(2 e^{- 0.01 t} - e^{- 0.02 t})^{3}

What is expand (3s+1)/((s+4)^3(s^2+s+2.5)) ?
The solution to expand (3s+1)/((s+4)^3(s^2+s+2.5)) is (3s+1)/(s^5+13s^4+62.5s^3+142s^2+184s+160)