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

The solution to expand ((s+1)^2)/((s+4)^4) is (s^2+2s+1)/(s^4+16s^3+96s^2+256s+256)

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

expand

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

\frac{s ^{2} + 2 s + 1}{s ^{4} + 16 s ^{3} + 96 s ^{2} + 256 s + 256}

Solution steps

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

(s + 4)^{4} = s^{4} + 16 s^{3} + 96 s^{2} + 256 s + 256

= \frac{( s + 1 ) ^{2}}{s ^{4} + 16 s ^{3} + 96 s ^{2} + 256 s + 256}

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

= \frac{s ^{2} + 2 s + 1}{s ^{4} + 16 s ^{3} + 96 s ^{2} + 256 s + 256}

2 x^{(10 x - 1) (10 x + 1)}

\frac{1}{( x + 3 ) ( x + 4 ) ( x + 1 )}

(e^{x} sin (2 x)) \cdot (e^{x} cos (2 x) - 2 e^{x} sin (2 x))

(\frac{2}{3} + e) (z - 1)

What is expand ((s+1)^2)/((s+4)^4) ?
The solution to expand ((s+1)^2)/((s+4)^4) is (s^2+2s+1)/(s^4+16s^3+96s^2+256s+256)