What is expand (s+2)/((s^2+4s+5)^2) ?

The solution to expand (s+2)/((s^2+4s+5)^2) is (s+2)/(s^4+8s^3+26s^2+40s+25)

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expand (s+2)/((s^2+4s+5)^2)

expand

\frac{s + 2}{( s ^{2} + 4 s + 5 ) ^{2}}

\frac{s + 2}{s ^{4} + 8 s ^{3} + 26 s ^{2} + 40 s + 25}

Solution steps

\frac{s + 2}{( s ^{2} + 4 s + 5 ) ^{2}}

(s^{2} + 4 s + 5)^{2} = s^{4} + 8 s^{3} + 26 s^{2} + 40 s + 25

= \frac{s + 2}{s ^{4} + 8 s ^{3} + 26 s ^{2} + 40 s + 25}

\frac{9 x ^{2} - x ^{4}}{( 3 - x ^{2} ) ^{2}}

x (y^{6} + 1) d x + y^{2} (x^{4} + 1) d y

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

\frac{x}{( x + 1 ) \cdot ( x + 2 ) \cdot ( x + 3 )}

4 (z - 1) (z - e^{α})

What is expand (s+2)/((s^2+4s+5)^2) ?
The solution to expand (s+2)/((s^2+4s+5)^2) is (s+2)/(s^4+8s^3+26s^2+40s+25)