4. Раскройте скобки. 1) (b – c) (b + c) 2) (k + m) (k – m) 3) (c – 1) (c + 1) 4) (2 + k) (2 – k) 5) (6 – a) (a + 6) 6) (x + 144a) (x – 144a) 7) (5m – 3k) (3k + 5m) 8) (12v – 11u) (11u + 12v) 9) (9p + n²) (n² – 9p) 10) (15a³ – 2b²) (15a³ + 2b²) 11) (6h² – 17m⁴) (6h² + 17m⁴) 12) (11x² – 7z³) (11x² + 7z³) 13) (8u⁶ – 5b²) (8u⁶ + 5b²) 14) (13a⁷ – 18v³) (13a⁷ + 18v³) 15) (20p¹⁰ – 19k³) (20p¹⁰ + 19k³)

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

Ответ:

• \(b^2 - c^2\)
• \(k^2 - m^2\)
• \(c^2 - 1\)
• \(4 - k^2\)
• \(36 - a^2\)
• \(x^2 - 20736a^2\)
• \(25m^2 - 9k^2\)
• \(144v^2 - 121u^2\)
• \(n^4 - 81p^2\)
• \(225a^6 - 4b^4\)
• \(36h^4 - 289m^8\)
• \(121x^4 - 49z^6\)
• \(64u^{12} - 25b^4\)
• \(169a^{14} - 324v^6\)
• \(400p^{20} - 361k^6\)