(x^2-2x+4/x^2-5x+6)divided by(x^3+8/x^2-9)

(x^2-2x+4/x^2-5x+6)divided by(x^3+8/x^2-9)

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\[[(x^2-2x+4)\div(x^2-5x+6)] \div[(x^3+8/x^2-9)]\]

Multiply the second part by the numerator and simplify.

I factored down to the following:
\[[(x-2)(x-2)/(x-6)(x-1)]*[(x-3)(x+3)/(x+2)(x^2-2x+4)]\]

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