Сократите дробь (3p²+p-2)/(4-9p² ).

\[\frac{3p^{2} + p - 2}{4 - 9p^{2}} = \frac{3p^{2} + 3p - 2p - 2}{4 - 9p^{2}} =\]

\[= \frac{3p(p + 1) - 2(p + 1)}{4 - 9p^{2}} =\]

\[= \frac{(p + 1)(3p - 2)}{(2 - 3p)(2 + 3p)} = - \frac{p + 1}{2 + 3p}\]