What is expand (s(s+1))/((s^2-3s+15)(s+2)) ?

The solution to expand (s(s+1))/((s^2-3s+15)(s+2)) is (s^2+s)/(s^3-s^2+9s+30)

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expand (s(s+1))/((s^2-3s+15)(s+2))

expand

\frac{s ( s + 1 )}{( s ^{2} - 3 s + 15 ) ( s + 2 )}

\frac{s ^{2} + s}{s ^{3} - s ^{2} + 9 s + 30}

Solution steps

\frac{s ( s + 1 )}{( s ^{2} - 3 s + 15 ) ( s + 2 )}

Expand

(s^{2} - 3 s + 15) (s + 2) : s^{3} - s^{2} + 9 s + 30

= \frac{s ( s + 1 )}{s ^{3} - s ^{2} + 9 s + 30}

Expand

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

= \frac{s ^{2} + s}{s ^{3} - s ^{2} + 9 s + 30}

((\frac{e ^{x} + e ^{- x}}{2}))^{2}

\frac{s ^{3} + 8 s ^{2} + 4 s + 3}{s ^{2} ( s ^{2} + 4 s + 3 )}

(- ux) d x + (x (u d x + x d u) + x y (u d x + x d u)) d y

\frac{1}{3} (2 + \frac{1}{5} (4 z - 1) = \frac{3}{4} z - \frac{1}{3})

2 e^{- x^{2} - y^{2}} y - 2 e^{- x^{2} - y^{2}} y (y^{2} - x^{2})

What is expand (s(s+1))/((s^2-3s+15)(s+2)) ?
The solution to expand (s(s+1))/((s^2-3s+15)(s+2)) is (s^2+s)/(s^3-s^2+9s+30)