What is expand (9x^3-54x^2+12x+5)/((x-2)^3) ?

The solution to expand (9x^3-54x^2+12x+5)/((x-2)^3) is (9x^3-54x^2+12x+5)/(x^3-6x^2+12x-8)

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expand (9x^3-54x^2+12x+5)/((x-2)^3)

expand

\frac{9 x ^{3} - 54 x ^{2} + 12 x + 5}{( x - 2 ) ^{3}}

\frac{9 x ^{3} - 54 x ^{2} + 12 x + 5}{x ^{3} - 6 x ^{2} + 12 x - 8}

Solution steps

\frac{9 x ^{3} - 54 x ^{2} + 12 x + 5}{( x - 2 ) ^{3}}

(x - 2)^{3} = x^{3} - 6 x^{2} + 12 x - 8

= \frac{9 x ^{3} - 54 x ^{2} + 12 x + 5}{x ^{3} - 6 x ^{2} + 12 x - 8}

5 x (x - 72)

\frac{( ( s + 1 ) \cdot e ^{(- 0.5 s)} )}{( s \cdot ( s + 2 ) \cdot ( s + 3 ) )}

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

x^{\frac{2}{9}} \cdot (x - 4)

\frac{3 s ^{2} + 6 s + 84}{( s + 1 ) ( s - 2 ) ( s ^{2} + 2 s + 10 )}

What is expand (9x^3-54x^2+12x+5)/((x-2)^3) ?
The solution to expand (9x^3-54x^2+12x+5)/((x-2)^3) is (9x^3-54x^2+12x+5)/(x^3-6x^2+12x-8)