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}

\frac{( - B + d - 2 \cdot c )}{( B + d + 2 \cdot a )}

\frac{x ^{2} + 12}{( x ^{2} + 9 ) ( x ^{3} + 2 x ^{2} - x - 2 )}

2 u y^{2} (y d u + u d y) + (y^{2} - 3 y^{2} u^{2}) d u

e^{(a + ib)^{2}} e^{(a + ib)^{2}}

\frac{e ^{5 x}}{( e ^{2 x} - 1 ) ^{2}}

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)