What is expand (s^3+5s^2+9s+7)/((s+1)(s+2)) ?

The solution to expand (s^3+5s^2+9s+7)/((s+1)(s+2)) is (s^3+5s^2+9s+7)/(s^2+3s+2)

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expand (s^3+5s^2+9s+7)/((s+1)(s+2))

expand

\frac{s ^{3} + 5 s ^{2} + 9 s + 7}{( s + 1 ) ( s + 2 )}

\frac{s ^{3} + 5 s ^{2} + 9 s + 7}{s ^{2} + 3 s + 2}

Solution steps

\frac{s ^{3} + 5 s ^{2} + 9 s + 7}{( s + 1 ) ( s + 2 )}

Expand

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

= \frac{s ^{3} + 5 s ^{2} + 9 s + 7}{s ^{2} + 3 s + 2}

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

\frac{e ^{- a s}}{s ( s - 2 )}

\frac{3 x ^{2} + 17 x + 14}{( x - 2 ) ( x ^{2} + 2 x + 4 )}

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

\frac{x}{( x + y ) ^{2}}

What is expand (s^3+5s^2+9s+7)/((s+1)(s+2)) ?
The solution to expand (s^3+5s^2+9s+7)/((s+1)(s+2)) is (s^3+5s^2+9s+7)/(s^2+3s+2)