What is expand (4s+5)/((s-2)^2(s+3)) ?

The solution to expand (4s+5)/((s-2)^2(s+3)) is (4s+5)/(s^3-s^2-8s+12)

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expand (4s+5)/((s-2)^2(s+3))

expand

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

\frac{4 s + 5}{s ^{3} - s ^{2} - 8 s + 12}

Solution steps

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

(s - 2)^{2} = s^{2} - 4 s + 4

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

Expand

(s^{2} - 4 s + 4) (s + 3) : s^{3} - s^{2} - 8 s + 12

= \frac{4 s + 5}{s ^{3} - s ^{2} - 8 s + 12}

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

(- a + a^{2} - 4)^{2}

2 (sin (x) cos (x) - cos^{2} (x)) + cos (2 x) + sin (2 x)

e^{x^{x}} x^{x} (ln (x) + 1) + e^{x^{x}} x^{2 x} (ln (x) + 1)

(- sin (x)) (1 - sin (x))

What is expand (4s+5)/((s-2)^2(s+3)) ?
The solution to expand (4s+5)/((s-2)^2(s+3)) is (4s+5)/(s^3-s^2-8s+12)