What is expand (3x^2-8x+9)/((x-2)^3) ?

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

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expand (3x^2-8x+9)/((x-2)^3)

expand

\frac{3 x ^{2} - 8 x + 9}{( x - 2 ) ^{3}}

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

Solution steps

\frac{3 x ^{2} - 8 x + 9}{( x - 2 ) ^{3}}

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

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

\frac{\partial}{\partial a} ((h) (b + cos (ab)))

\frac{3 x ^{2}}{( x ^{3} + 1 ) ^{2}}

(1 - i 3)^{4}

(1 + x^{2}) arctan (x) - x

(1 - 2 i)^{10}

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