35.10. 1) 5(2 + x)3 - 5x3 = 28x + 30x2;
2) 54x2 + 6(x - 3)3 = 162 + 6x3,
3) (x +9)(x2 - 9x +81) = -7 - 4x + x3;
4) x3 - 2x - 331 = (x2 - 11x + 121)(x + 11).
Помогите

Ответ:

1) 5(2+x)^3-5x^3=28x+30x^2

5(8+12x+6x^2 +x^3)-5x^3=28x+30x^2

40+60x+30x^2 +5x^3-5x^3=28x+30x^2

40+60x+30x^2=28x+30x^2

40+60x=28x

60x-28x=-40

32x=-40

x=-5/4

x=-1 1/4

2) 54x^2+6(x-3)^3=162+6x^3

54x^2+6(x^3-9x^2+27x-27)=162+6x^3

54x^2+6x^3-54x^2+162x-162=162+6x^3

6x^3+162x-162=162+6x^3

162x-162=162

162x=162+162

162x=324

x=324:162

x=2

3) (x+9)(x^2-9x+81)=-7-4x+x^3

x^3+729=-7-4x+x^3

729=-7-4x

4x=-7-729

4x=-736

x=-736:4

x=-184

4) x^3-2x-331=(x^2-11x+121)(x+11)

x^3-2x-331=x^3+1331

-2x-331=1331

-2x=1331+331

-2x=1662

x=1662:(-2)

x=-831