§ 11: 11.27

11.27 Спростіть вираз:

1) (6x+ 16x- 1 – 46x3x- 1) • 3x+ 6x6x- 1 = (3x+ 16x- 1 – 46x(6x-1)(6x+1)) • 6x(6x+ 1)6x- 1 = 3x+ 26x+ 1-4 6x3x- 1 • 6x(6x+ 1)6x- 1 = (6x- 1)2• 6x •(6x+ 1)6x- 16x+ 1(6x- 1) = 6x;

2) (4a3 - 4b3a- b – 4a – 4b) • (4ab + 1) = –a;

1. 4a3 - 4b3a- b = 4a- 4b(4a2+ 4ab+ 4b2)4a- ab(4a+ 4b) = 4a2+ 4ab+ 4b24a+ 4b;

2. 4a2+ 4ab+ 4b24a+ 4b – 4a+ 4b(4a+ 4b)4a+ 4b = 4a2+ 4ab+ 4b2- 4a2- 4ab- 4ab- 4b4a+ 4b = -4ab4a+ 4b;

3. 4ab + 1 = 4a+ 4b4b; 4. -4ab •(4a+ 4b)4a+ 4b• 4b = –4a.