What is expand 1/((0.002s^2+0.02s+1)(s^2+0.1s+1)) ?

The solution to expand 1/((0.002s^2+0.02s+1)(s^2+0.1s+1)) is 1/(0.002s^4+0.0202s^3+1.004s^2+0.12s+1)

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expand 1/((0.002s^2+0.02s+1)(s^2+0.1s+1))

expand

\frac{1}{( 0.002 s ^{2} + 0.02 s + 1 ) ( s ^{2} + 0.1 s + 1 )}

\frac{1}{0.002 s ^{4} + 0.0202 s ^{3} + 1.004 s ^{2} + 0.12 s + 1}

Solution steps

\frac{1}{( 0.002 s ^{2} + 0.02 s + 1 ) ( s ^{2} + 0.1 s + 1 )}

Expand

(0.002 s^{2} + 0.02 s + 1) (s^{2} + 0.1 s + 1) : 0.002 s^{4} + 0.0202 s^{3} + 1.004 s^{2} + 0.12 s + 1

= \frac{1}{0.002 s ^{4} + 0.0202 s ^{3} + 1.004 s ^{2} + 0.12 s + 1}

\frac{4 ( 4 x + 1 )}{x}

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

e^{8 t} \cdot t (f (t - 8) H (t - 8))

(- 7, - 2) y (- 6, 7)

What is expand 1/((0.002s^2+0.02s+1)(s^2+0.1s+1)) ?
The solution to expand 1/((0.002s^2+0.02s+1)(s^2+0.1s+1)) is 1/(0.002s^4+0.0202s^3+1.004s^2+0.12s+1)