Васильева Анна Андреевна Тренажер 7 класс 4. Раскройте скобки. 1) (bc)(b + c) 2) (k + m)(k - m) 3) (c1)(c + 1) 4) (2+k)(2-k) 5) (6a) (a + 6) 6) (x + 144a) (x - 144a) 7) (5m3k)(3k + 5m) 8) (12v - 11u)(11u + 12v) 9) (9p + n²) (n² - 9p) 10) (15a3 - 2b²)(15a3 + 2b²) 11) (6h² 17m²)(6h² + 17m²) 12) (11x²-7z3) (11x² + 7z3) 13) (8u65b²)(8u6 + 5b²) 14) (13a7 – 18v3)(13a² + 18v3) 15) (20p10 - 19k3)(20p10 + 19k3)

Ответ: смотри решение

1. \[(b-c)(b+c) = b^2 - c^2\]
2. \[(k+m)(k-m) = k^2 - m^2\]
3. \[(c-1)(c+1) = c^2 - 1\]
4. \[(2+k)(2-k) = 4 - k^2\]
5. \[(6-a)(a+6) = 36 - a^2\]
6. \[(x+144a)(x-144a) = x^2 - (144a)^2 = x^2 - 20736a^2\]
7. \[(5m-3k)(3k+5m) = (5m-3k)(5m+3k) = (5m)^2 - (3k)^2 = 25m^2 - 9k^2\]
8. \[(12v-11u)(11u+12v) = (12v-11u)(12v+11u) = (12v)^2 - (11u)^2 = 144v^2 - 121u^2\]
9. \[(9p+n^2)(n^2-9p) = (n^2+9p)(n^2-9p) = (n^2)^2 - (9p)^2 = n^4 - 81p^2\]
10. \[(15a^3-2b^2)(15a^3+2b^2) = (15a^3)^2 - (2b^2)^2 = 225a^6 - 4b^4\]
11. \[(6h^2-17m^4)(6h^2+17m^4) = (6h^2)^2 - (17m^4)^2 = 36h^4 - 289m^8\]
12. \[(11x^2-7z^3)(11x^2+7z^3) = (11x^2)^2 - (7z^3)^2 = 121x^4 - 49z^6\]
13. \[(8u^6-5b^2)(8u^6+5b^2) = (8u^6)^2 - (5b^2)^2 = 64u^{12} - 25b^4\]
14. \[(13a^7-18v^3)(13a^7+18v^3) = (13a^7)^2 - (18v^3)^2 = 169a^{14} - 324v^6\]
15. \[(20p^{10}-19k^3)(20p^{10}+19k^3) = (20p^{10})^2 - (19k^3)^2 = 400p^{20} - 361k^6\]

Ответ: смотри решение