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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

(e^{- x} + e^{x})^{3}

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(2 t^{4} - t^{2}) (1 + 3 t^{2})

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