What is expand (200(s+4)^2)/(s^2(10+s)(20+s)) ?

The solution to expand (200(s+4)^2)/(s^2(10+s)(20+s)) is (200s^2+1600s+3200)/(200s^2+30s^3+s^4)

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expand (200(s+4)^2)/(s^2(10+s)(20+s))

expand

\frac{200 ( s + 4 ) ^{2}}{s ^{2} ( 10 + s ) ( 20 + s )}

\frac{200 s ^{2} + 1600 s + 3200}{200 s ^{2} + 30 s ^{3} + s ^{4}}

Solution steps

\frac{200 ( s + 4 ) ^{2}}{s ^{2} ( 10 + s ) ( 20 + s )}

(s + 4)^{2} = s^{2} + 8 s + 16

= \frac{200 ( s ^{2} + 8 s + 16 )}{s ^{2} ( s + 10 ) ( s + 20 )}

Expand

s^{2} (10 + s) (20 + s) : 200 s^{2} + 30 s^{3} + s^{4}

= \frac{200 ( s ^{2} + 8 s + 16 )}{200 s ^{2} + 30 s ^{3} + s ^{4}}

Expand

200 (s^{2} + 8 s + 16) : 200 s^{2} + 1600 s + 3200

= \frac{200 s ^{2} + 1600 s + 3200}{200 s ^{2} + 30 s ^{3} + s ^{4}}

\frac{( x + 1 ) ^{2}}{x ^{2} + 8}

e^{2 t} (t - 1)^{2}

6 (- 79 m + \frac{6 m}{s})

2 t^{3} + 6 t^{2} + 9 t + e^{2 t} (2 - 13 t) + 6

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

What is expand (200(s+4)^2)/(s^2(10+s)(20+s)) ?
The solution to expand (200(s+4)^2)/(s^2(10+s)(20+s)) is (200s^2+1600s+3200)/(200s^2+30s^3+s^4)