What is expand s/((s+2)^2(s^2+25)) ?

The solution to expand s/((s+2)^2(s^2+25)) is s/(s^4+29s^2+4s^3+100s+100)

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expand s/((s+2)^2(s^2+25))

expand

\frac{s}{( s + 2 ) ^{2} ( s ^{2} + 25 )}

\frac{s}{s ^{4} + 29 s ^{2} + 4 s ^{3} + 100 s + 100}

Solution steps

\frac{s}{( s + 2 ) ^{2} ( s ^{2} + 25 )}

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

= \frac{s}{( s ^{2} + 4 s + 4 ) ( s ^{2} + 25 )}

Expand

(s^{2} + 4 s + 4) (s^{2} + 25) : s^{4} + 29 s^{2} + 4 s^{3} + 100 s + 100

= \frac{s}{s ^{4} + 29 s ^{2} + 4 s ^{3} + 100 s + 100}

- \frac{( r + θ ) ( r - θ )}{θ ^{2}}

\frac{( 3 x + 2 ) ( 9 x - 2 )}{3}

\frac{- e ^{2 x} + 2 x + 7}{x ( x + 2 )}

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

\frac{d ^{2}}{d y ^{2}} ((x^{2}) (x - 3 y^{2})^{3})

What is expand s/((s+2)^2(s^2+25)) ?
The solution to expand s/((s+2)^2(s^2+25)) is s/(s^4+29s^2+4s^3+100s+100)