Question

16. Упростите. 1) x (x + 1)² - (x-1)3 3) a (a + 1) (a + 2) - (a + 3)3 2) x (x - 1)² - (x - 1)3 4) (2a + 1) (3a-2) (a-1)-(a+2)³​

Answer 1

Ответ:

1. x(x + 1)² - (x - 1)³:

x^3 + 2x^2 - (x^3 - 3x^2 + 3x - 1) = 5x^2 - 3x + 1

2. x(x - 1)² - (x - 1)³:

x(x^2 - 2x + 1) - (x^3 - 3x^2 + 3x - 1) = -2x^2 + 4x - 1

3. a(a + 1)(a + 2) - (a + 3)³:

a(a^2 + 3a + 2) - (a^3 + 9a^2 + 27a + 27) = -8a^2 - 24a - 27

4. (2a + 1)(3a-2)(a-1)-(a+2)³:

(6a^2 - 7a - 2) - (a^3 + 6a^2 + 12a + 8) = -a^3 - 5a^2 - 19a - 10