What is expand 8/((x^2+4)(x^2+6x+25)) ?

The solution to expand 8/((x^2+4)(x^2+6x+25)) is 8/(x^4+6x^3+29x^2+24x+100)

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expand 8/((x^2+4)(x^2+6x+25))

expand

\frac{8}{( x ^{2} + 4 ) ( x ^{2} + 6 x + 25 )}

\frac{8}{x ^{4} + 6 x ^{3} + 29 x ^{2} + 24 x + 100}

Solution steps

\frac{8}{( x ^{2} + 4 ) ( x ^{2} + 6 x + 25 )}

Expand

(x^{2} + 4) (x^{2} + 6 x + 25) : x^{4} + 6 x^{3} + 29 x^{2} + 24 x + 100

= \frac{8}{x ^{4} + 6 x ^{3} + 29 x ^{2} + 24 x + 100}

\frac{1}{4} ((s + 2)^{2} (s - 2)^{3} (s^{2} + 4))

10 - 10 e^{- 3 x} (cos (3 x) + sin (3 x))

(- 4) \cdot 8 a + 16

\frac{4 ( s ^{3} + 2 s ^{2} + s + 1 )}{s ^{2} ( s ^{3} + 2 s ^{2} - s - 1 )}

24 x^{2} - 10 x - 3 (y + x \frac{d y}{d x})

What is expand 8/((x^2+4)(x^2+6x+25)) ?
The solution to expand 8/((x^2+4)(x^2+6x+25)) is 8/(x^4+6x^3+29x^2+24x+100)