Question

1) (2,3x - 10) (5,29x² + 23x + 100) - 125x = 12,167x³;
2) (20 + 1,7x) (2,89x² - 34x + 400) - 400x = 4,913x³;
3) 5(x - 6)³ - 13(2 + x)³ +32 = −8x²(x + 21); 4)-6(4 + x)³ + 3(5-x)³ = 1017 - 9x²(3 + x).​

Answer 1

Ответ:

1. (2)(5) + (2)(29x² + 23x + 100) - (125x)(3x - 10) = 12,167x³

10 + 58x² + 46x + 200 - 375x² + 1250x = 12,167x³

12,167x³ + 365x² - 804x - 190 = 0

2. (20)(2.89x² - 34x + 400) + (1.7x)(2.89x² - 34x + 400) - (400x)(4.913x) = 4,913x³

57.8x² - 938.6x + 8000 - 1965.2x² + 23,578x - 160,000 - 1965.2x² + 23,578x - 160,000 - 4,913x⁴ = 0

4,913x⁴ - 2548x³ + 81,016x² - 270,604x + 240,000 = 0

3. 5(x³ - 18x² + 108x - 216) - 13(8 + 12x + 6x² + x³) + 32 = -8x²(x + 21)

5x³ - 90x² + 540x - 1080 - 104x³ - 156x² - 78x - 13x³ + 32 = -8x³ - 168x²

-112x³ + 266x² + 618x + 1048 = 0

56x³ - 133x² - 309x - 524 = 0

4. -6(64 + 48x + 12x² + x³) + 3(125 - 75x + 15x² - x³) = 1017 - 27x² - 9x² - 27x³

-384 - 288x - 72x² - 6x³ + 375 - 225x + 45x² - 3x³ = 1017 - 36x² - 27x³

-24x³ + 63x² + 519x - 732 = 0