What is expand (3s^2+12s-3)/((s+1)(3s^2-2s-3)) ?

The solution to expand (3s^2+12s-3)/((s+1)(3s^2-2s-3)) is (3s^2+12s-3)/(3s^3+s^2-5s-3)

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expand (3s^2+12s-3)/((s+1)(3s^2-2s-3))

expand

\frac{3 s ^{2} + 12 s - 3}{( s + 1 ) ( 3 s ^{2} - 2 s - 3 )}

\frac{3 s ^{2} + 12 s - 3}{3 s ^{3} + s ^{2} - 5 s - 3}

Solution steps

\frac{3 s ^{2} + 12 s - 3}{( s + 1 ) ( 3 s ^{2} - 2 s - 3 )}

Expand

(s + 1) (3 s^{2} - 2 s - 3) : 3 s^{3} + s^{2} - 5 s - 3

= \frac{3 s ^{2} + 12 s - 3}{3 s ^{3} + s ^{2} - 5 s - 3}

(x + Δ x)^{2} [(x + Δ x)^{2} + (y + Δ y)^{2}]

(2 π \cdot i \cdot s + a)^{2}

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

\frac{( 2 x - 1 )}{x ^{2} ( x ^{2} + 4 )}

- \frac{24 x}{( x ^{2} + 3 ) ^{2}}

What is expand (3s^2+12s-3)/((s+1)(3s^2-2s-3)) ?
The solution to expand (3s^2+12s-3)/((s+1)(3s^2-2s-3)) is (3s^2+12s-3)/(3s^3+s^2-5s-3)