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

The solution to expand (2x)/((s+1)(s^2+1)^2) is (2x)/(s^5+2s^3+s+s^4+2s^2+1)

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

expand

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

\frac{2 x}{s ^{5} + 2 s ^{3} + s + s ^{4} + 2 s ^{2} + 1}

Solution steps

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

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

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

Expand

(s + 1) (s^{4} + 2 s^{2} + 1) : s^{5} + 2 s^{3} + s + s^{4} + 2 s^{2} + 1

= \frac{2 x}{s ^{5} + 2 s ^{3} + s + s ^{4} + 2 s ^{2} + 1}

(x - x^{2}) e^{x}

\frac{x}{( x ^{2} + 3 ) ^{2}}

10 (\frac{x}{2} - \frac{1}{5} = y)

5 (6 - 43)

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

What is expand (2x)/((s+1)(s^2+1)^2) ?
The solution to expand (2x)/((s+1)(s^2+1)^2) is (2x)/(s^5+2s^3+s+s^4+2s^2+1)