Ответ: 1. а) 36a² + 78a - 129
б) -x⁴ + 6x² - 54x - 1
2. x₁ = 1 x₂ = 1
Объяснение:
1. а) 6 * (6a - 2a² - 21 + 7a) - 3 (4a + 1 - 16a² - 4a) =
= 36a - 12a² - 126 + 42a - 12a - 3 + 48a² + 12a =
= 36a² + 78a - 129
б) 2x (x³ + 3x² + 9x - 3x² - 9x - 27) - (3x⁴ - 2 * 3x² + 1) =
= 2x⁴ + 6x³ + 18x² - 6x³ - 18x² - 54x - 3x⁴ + 6x² - 1 =
=-x⁴ + 6x² - 54x - 1
2. (x³ - x²) + (2x - 2) = 0
x² (x - 1) + 2 (x - 1) = 0
(x - 1) (x² - 1) = 0
x - 1 = 0
x₁ = 1
x² - 1 = 0
x² = 1
x₂ = 1