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

The solution to expand (x-2)/((x-3)^2(x-8)) is (x-2)/(x^3-14x^2+57x-72)

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

expand

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

\frac{x - 2}{x ^{3} - 14 x ^{2} + 57 x - 72}

Solution steps

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

(x - 3)^{2} = x^{2} - 6 x + 9

= \frac{x - 2}{( x ^{2} - 6 x + 9 ) ( x - 8 )}

Expand

(x^{2} - 6 x + 9) (x - 8) : x^{3} - 14 x^{2} + 57 x - 72

= \frac{x - 2}{x ^{3} - 14 x ^{2} + 57 x - 72}

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

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

(\frac{- 4 α ^{2} + 4 α β}{β ^{2}})^{2}

\frac{x ^{4} - 5 x ^{3} + 1}{( 2 - x ) ( x - 3 )}

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

What is expand (x-2)/((x-3)^2(x-8)) ?
The solution to expand (x-2)/((x-3)^2(x-8)) is (x-2)/(x^3-14x^2+57x-72)