Сократите дробь: (3x^2-x-2)/(9x^2-4).

Ответ:

\[3x^{2} - x - 2 = 0\]

\[D = 1 + 24 = 25\]

\[x_{1} = \frac{1 + 5}{6} = \frac{6}{6} = 1;\ \ \ \]

\[x_{2} = \frac{1 - 5}{6} = - \frac{4}{6} = - \frac{2}{3}.\]

\[3x^{2} - x - 2 =\]

\[= 3 \cdot \left( x + \frac{2}{3} \right)(x - 1) =\]

\[= (3x + 2)(x - 1).\]