What is expand (x^2-x+3)/((x-2)^3) ?

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

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expand (x^2-x+3)/((x-2)^3)

expand

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

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

Solution steps

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

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

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

4 a^{2} - 2 (2 b)^{3} + ab (a = - 1, b = 2)

\frac{( 2 a + 1 ) ^{2}}{4}

a^{(2 n + 1) (2 n - 1)}

100 (X - 16 = 8192)

\frac{1}{2 ( 2 x + 6 )}

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