(x-3/x²+3x/2)(x²/x²-4x+3)=

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(x-3/x²+3x/2)(x²/x²-4x+3)=(x-3/x²+3x/2)(x²/x²-4x+3)=(x-3/x²+3x/2)

(x-3/x²+3x/2)(x²/x²-4x+3)=
(x-3/x²+3x/2)(x²/x²-4x+3)=

(x-3/x²+3x/2)(x²/x²-4x+3)=
(x-3/x²+3x/2)(x²/x²-4x+3)
=2(x-3)/x(x+3)*x²/(x-1)(x-3)
=2x/(x+3)(x-1)
=2x/(x²+2x-3)