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

The solution to expand w/((s^2+w^2)(s+a)) is w/(s^3+as^2+w^2s+aw^2)

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

expand

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

\frac{w}{s ^{3} + a s ^{2} + w ^{2} s + a w ^{2}}

Solution steps

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

Expand

(s^{2} + w^{2}) (s + a) : s^{3} + a s^{2} + w^{2} s + a w^{2}

= \frac{w}{s ^{3} + a s ^{2} + w ^{2} s + a w ^{2}}

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

\frac{k ( k + 1 ) ^{3} ( 2 k + 1 )}{6}

\frac{2 x ^{2} - 4 x - 16}{3 ( x + 3 )}

\frac{5 ( 5 + 809 )}{49}

\frac{9 ( 27 + 753 )}{2}

What is expand w/((s^2+w^2)(s+a)) ?
The solution to expand w/((s^2+w^2)(s+a)) is w/(s^3+as^2+w^2s+aw^2)