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

The solution to expand (s^2+s+1)/((s^2+1)^2) is (s^2+s+1)/(s^4+2s^2+1)

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

expand

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

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

Solution steps

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

(s^{2} + 1)^{2} = s^{4} + 2 s^{2} + 1

= \frac{s ^{2} + s + 1}{s ^{4} + 2 s ^{2} + 1}

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

s (s^{2} + 5 s + 5)^{2}

\frac{1}{4 + 9 x ^{2}}

\frac{( 4 s + 5 )}{( ( s + 3 ) ( s - 4 ) ^{2} )}

(z^{2} + π^{2})^{2}

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