Сократите дробь: 1) a^2-3a+2/a^2-5a+6 2) 5a^2-9a-2/a^2-3a+2 3) 6x^2+x-2/3x^2-4x-4

Сократить дроби.

1. (a² - 3 * a + 2) / (a² - 5 * a + 6) = ((a² - a) - (2 * a - 2)) / ((a² - 4 * a + 4) - (a - 2)) =

(a * (a - 1) - 2 * (a - 1)) / ((a - 2) ² - (a - 2)) = ((a - 1) * (a - 2)) / ((a - 2) ² - (a - 2)) =

((a - 1) * (a - 2)) / ((a - 2) * (a - 3)) = (a - 1) / (a - 3);

2. (5 * a² - 9 * a - 2) / (a² - 3 * a + 2) =

((5 * a² - 10 * a) + (a - 2)) / ((a² - 2 * a) - (a - 2)) =

(5 * a * (a - 2) + (a - 2)) / (a * (a - 2) - (a - 2)) =

((a - 2) * (5 * a + 1)) / ((a - 2) * (a - 1)) = (5 * a + 1) / (a - 1);

3. (6 * x² + x - 2) / (3 * x² - 4 * x - 4) =

((6 * X² - 3 * x) + (4 * x - 2) / ((3 * x² + 2 * x) - (6 * x + 4)) =

(3 * x * (2 * x - 1) + 2 * (2 * x - 1)) / (x * (3 * x + 2) - 2 * (3 * x + 2)) =

((2 * x - 1) * (3 * x + 2)) / ((3 * x + 2) * (x - 2)) =

(2 * x - 1) / (x - 2).