DK \(3+2x\ne0;3-2x\ne0\Leftrightarrow x\ne\left\{+-\frac{3}{2}\right\}\)
\(\left(\frac{3-2x+\left(3+2x\right)}{\left(3+2x\right)\left(3-2x\right)}\right).\frac{\left(3+2x\right)}{1}\)\(=\left(\frac{6}{\left(3+2x\right)\left(3-2x\right)}\right).\left(3+2x\right)\)\(=\frac{6}{\left(3-2x\right)}\)
\(=\frac{\left(3-2x\right)+\left(3+2x\right)}{\left(3+2x\right)\left(3-2x\right)}.\left(3+2x\right)\)
\(=\frac{6}{3-2x}\)