What is expand (s(3s^2+4s+1))/(s^2+2) ?

The solution to expand (s(3s^2+4s+1))/(s^2+2) is (3s^3+4s^2+s)/(s^2+2)

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expand (s(3s^2+4s+1))/(s^2+2)

expand

\frac{s ( 3 s ^{2} + 4 s + 1 )}{s ^{2} + 2}

\frac{3 s ^{3} + 4 s ^{2} + s}{s ^{2} + 2}

Solution steps

\frac{s ( 3 s ^{2} + 4 s + 1 )}{s ^{2} + 2}

Expand

s (3 s^{2} + 4 s + 1) : 3 s^{3} + 4 s^{2} + s

= \frac{3 s ^{3} + 4 s ^{2} + s}{s ^{2} + 2}

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

(- \frac{x ^{3}}{4} + 2 y) \cdot (3 x^{2} - x y + y^{4})

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

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

\frac{( s + 3 )}{( s + 2 ) ( s + 4 ) ( s + 5 )}

What is expand (s(3s^2+4s+1))/(s^2+2) ?
The solution to expand (s(3s^2+4s+1))/(s^2+2) is (3s^3+4s^2+s)/(s^2+2)