Question

Преобразуйте в многочлен (3a-2)^2-(2a-3)^2

Answer 1

(3a - 2)² - (2a - 3)² = ((3a - 2)+(2a - 3))((3a - 2)-(2a - 3)) =
                              = (5a - 5)(a + 1) = 5a² - 5

Или так:

(3a - 2)² - (2a - 3)² = (9a² - 12a + 4) - (4a² - 12a + 9) =
                              = 9a² - 12a + 4 - 4a² + 12a - 9 = 5a² - 5