What is expand ((S+1.5)(S-3))/((S+3)(S+2)(S+1)) ?

The solution to expand ((S+1.5)(S-3))/((S+3)(S+2)(S+1)) is (S^2-1.5S-4.5)/(S^3+6S^2+11S+6)

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expand ((S+1.5)(S-3))/((S+3)(S+2)(S+1))

expand

\frac{( S + 1.5 ) ( S - 3 )}{( S + 3 ) ( S + 2 ) ( S + 1 )}

\frac{S ^{2} - 1.5 S - 4.5}{S ^{3} + 6 S ^{2} + 11 S + 6}

Solution steps

\frac{( S + 1.5 ) ( S - 3 )}{( S + 3 ) ( S + 2 ) ( S + 1 )}

Expand

(S + 3) (S + 2) (S + 1) : S^{3} + 6 S^{2} + 11 S + 6

= \frac{( S + 1.5 ) ( S - 3 )}{S ^{3} + 6 S ^{2} + 11 S + 6}

Expand

(S + 1.5) (S - 3) : S^{2} - 1.5 S - 4.5

= \frac{S ^{2} - 1.5 S - 4.5}{S ^{3} + 6 S ^{2} + 11 S + 6}

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What is expand ((S+1.5)(S-3))/((S+3)(S+2)(S+1)) ?
The solution to expand ((S+1.5)(S-3))/((S+3)(S+2)(S+1)) is (S^2-1.5S-4.5)/(S^3+6S^2+11S+6)