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

The solution to expand (10(s+2))/(s(s+1)^2) is (10s+20)/(s^3+2s^2+s)

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

expand

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

\frac{10 s + 20}{s ^{3} + 2 s ^{2} + s}

Solution steps

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

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

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

Expand

s (s^{2} + 2 s + 1) : s^{3} + 2 s^{2} + s

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

Expand

10 (s + 2) : 10 s + 20

= \frac{10 s + 20}{s ^{3} + 2 s ^{2} + s}

e^{y} (e^{- x} + 1)^{3} \frac{d y}{d x}

A (1, - 2) Y B (- 3, - 2)

(- u) (u d x + x d u)

3 (2 + 32)

M (3, - 1, 0) N (1, - 5, 3)

What is expand (10(s+2))/(s(s+1)^2) ?
The solution to expand (10(s+2))/(s(s+1)^2) is (10s+20)/(s^3+2s^2+s)