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**ukorov** = $\displaystyle \frac{4x^2 - 9}{3x^2 + 2x}$ x $\displaystyle \frac{3x^2 - 7x + 6}{2x^2 + 11x + 12}$

= $\displaystyle \frac{(2x)^2 - 3^2}{x(3x + 2)}$ x $\displaystyle \frac{3x^2 - 7x + 6}{(2x + 3)(x + 4)}$

= $\displaystyle \frac{(2x- 3)(2x + 3)}{x(3x + 2)}$ x $\displaystyle \frac{3x^2 - 7x + 6}{(2x + 3)(x + 4)}$

= $\displaystyle \frac{2x- 3}{x(3x + 2)}$ x $\displaystyle \frac{3x^2 - 7x + 6}{x + 4}$

could be done further than that.....

$\displaystyle 3x^2 - 7x + 6$ cannot be factorized since its discriminant $\displaystyle b^2 - 4ac$ < 0

.....so may be something here is written wrong....