\(\frac{1}{3x-2}-\frac{4}{3x+2}-\frac{3x-6}{4-9x^2}\left(đk:x\ne\pm\frac{2}{3};\right)\)\(=\frac{3x+2}{\left(3x-2\right)\left(3x+2\right)}-\frac{4\left(3x-2\right)}{\left(3x-2\right)\left(3x+2\right)}+\frac{3x-6}{\left(3x-2\right)\left(3x+2\right)}\)
=\(\frac{10-9x}{\left(3x-2\right)\left(3x+2\right)}+\frac{3x-6}{\left(3x-2\right)\left(3x+2\right)}=\frac{4-6x}{\left(3x-2\right)\left(3x+2\right)}\)
\(=\frac{-2\left(3x-2\right)}{\left(3x-2\right)\left(3x+2\right)}=\frac{-2}{3x+2}\)