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

The solution to expand ((s+1)^2)/((s+2)^4) is (s^2+2s+1)/(s^4+8s^3+24s^2+32s+16)

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

expand

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

\frac{s ^{2} + 2 s + 1}{s ^{4} + 8 s ^{3} + 24 s ^{2} + 32 s + 16}

Solution steps

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

(s + 2)^{4} = s^{4} + 8 s^{3} + 24 s^{2} + 32 s + 16

= \frac{( s + 1 ) ^{2}}{s ^{4} + 8 s ^{3} + 24 s ^{2} + 32 s + 16}

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

= \frac{s ^{2} + 2 s + 1}{s ^{4} + 8 s ^{3} + 24 s ^{2} + 32 s + 16}

(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 ((s+1)^2)/((s+2)^4) ?
The solution to expand ((s+1)^2)/((s+2)^4) is (s^2+2s+1)/(s^4+8s^3+24s^2+32s+16)