What is expand ((s+10)(s+1))/((s+100)(s+2)^3) ?

The solution to expand ((s+10)(s+1))/((s+100)(s+2)^3) is (s^2+11s+10)/(s^4+106s^3+612s^2+1208s+800)

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expand ((s+10)(s+1))/((s+100)(s+2)^3)

expand

\frac{( s + 10 ) ( s + 1 )}{( s + 100 ) ( s + 2 ) ^{3}}

\frac{s ^{2} + 11 s + 10}{s ^{4} + 106 s ^{3} + 612 s ^{2} + 1208 s + 800}

Solution steps

\frac{( s + 10 ) ( s + 1 )}{( s + 100 ) ( s + 2 ) ^{3}}

(s + 2)^{3} = s^{3} + 6 s^{2} + 12 s + 8

= \frac{( s + 10 ) ( s + 1 )}{( s + 100 ) ( s ^{3} + 6 s ^{2} + 12 s + 8 )}

Expand

(s + 100) (s^{3} + 6 s^{2} + 12 s + 8) : s^{4} + 106 s^{3} + 612 s^{2} + 1208 s + 800

= \frac{( s + 10 ) ( s + 1 )}{s ^{4} + 106 s ^{3} + 612 s ^{2} + 1208 s + 800}

Expand

(s + 10) (s + 1) : s^{2} + 11 s + 10

= \frac{s ^{2} + 11 s + 10}{s ^{4} + 106 s ^{3} + 612 s ^{2} + 1208 s + 800}

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

12 (e^{- x} - e^{- x} x)

e^{2 x} \cdot (- lo g_{n} (2 x + 1) - 2 x)

6 (x + 7)

(x + 12)^{2}

What is expand ((s+10)(s+1))/((s+100)(s+2)^3) ?
The solution to expand ((s+10)(s+1))/((s+100)(s+2)^3) is (s^2+11s+10)/(s^4+106s^3+612s^2+1208s+800)