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

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

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

expand

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

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

Solution steps

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

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

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

\frac{3 x ^{2} - 8 x + 5}{( x + 1 ) ^{4}}

- \frac{n ( 5 n + 7 )}{( n + 1 ) ^{2}}

\frac{7}{x ( x - 4 )}

\frac{s}{( s ^{2} + 1 ) ^{3}}

\frac{3 + 6 x + 4 x ^{2} - 2 x ^{3}}{x ^{2} ( x ^{2} + 3 )}

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