What is expand (s(s+0.1))/((s+1)^2(s+10)) ?

The solution to expand (s(s+0.1))/((s+1)^2(s+10)) is (s^2+0.1s)/(s^3+12s^2+21s+10)

Popular >

expand (s(s+0.1))/((s+1)^2(s+10))

expand

\frac{s ( s + 0.1 )}{( s + 1 ) ^{2} ( s + 10 )}

\frac{s ^{2} + 0.1 s}{s ^{3} + 12 s ^{2} + 21 s + 10}

Solution steps

\frac{s ( s + 0.1 )}{( s + 1 ) ^{2} ( s + 10 )}

(s + 1)^{2} = s^{2} + 2 s + 1

= \frac{s ( s + 0.1 )}{( s ^{2} + 2 s + 1 ) ( s + 10 )}

Expand

(s^{2} + 2 s + 1) (s + 10) : s^{3} + 12 s^{2} + 21 s + 10

= \frac{s ( s + 0.1 )}{s ^{3} + 12 s ^{2} + 21 s + 10}

Expand

s (s + 0.1) : s^{2} + 0.1 s

= \frac{s ^{2} + 0.1 s}{s ^{3} + 12 s ^{2} + 21 s + 10}

(e^{2 x} 0.2 sin (4 x) + cos (4 x) \cdot 4 e^{2 x})^{2}

\frac{2 x}{2 x}

(3 sin (20 π t) + 2 sin (30 π t)) \cdot sin (100 π t)

(3 + x) (3 - x)

\frac{1 - e ^{- 4 s}}{s ( s ^{2} + 2 s + 26 )}

What is expand (s(s+0.1))/((s+1)^2(s+10)) ?
The solution to expand (s(s+0.1))/((s+1)^2(s+10)) is (s^2+0.1s)/(s^3+12s^2+21s+10)