Hard algebra qestion

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3x^2+6x/2x^2-11x+12 - 2x^2-5x+3/x^2+x-2 ÷ 4x^2-12x+9/x^2-4

I got

3x^3+2x^2-12x+8 / (x-1)(2x-3) (x-4)

Is this right please show your steps so I can understand!
Thanks I greatly appreciate your help!

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