Verified answer

(a² - 3a + 2) / (a² - a - 2) = (a - 1)(a - 2) / (a + 1)(a - 2) = сокращаем подобные (a-2) = (a - 1)/(a + 1)

надо разложить многочлены

a² - 3a + 2 = (a - 2)(a - 1)

D = b² - 4ac = 9 - 8 = 1

a12= (3 +- 1)/2 = 1  2

a² - a - 2 = (a - 2)(a + 1)

D= 1 + 8 = 9

a12= (1 +- 3)/2 = 2   -1

ответ (a - 1)/(a + 1)