2. Разложите многочлен на множители:

Решение:

1. \(7a + 7y = 7(a+y)\)
2. \(-8b + 8c = 8(c-b)\)
3. \(12x + 48y = 12(x+4y)\)
4. \(-9m - 27n = -9(m+3n)\)
5. \(12a + 12 = 12(a+1)\)
6. \(-10 - 10c = -10(1+c)\)
7. \(-ma - a = -a(m+1)\)
8. \(7ax + 7bx = 7x(a+b)\)
9. \(3by - 6b = 3b(y-2)\)
10. \(-5mn + 5n = 5n(1-m)\)
11. \(3a + 9ab = 3a(1+3b)\)
12. \(5y^2 - 15y = 5y(y-3)\)
13. \(3x + 6x^2 = 3x(1+2x)\)
14. \(a^2 - ab = a(a-b)\)
15. \(8mn - 4m^2 = 4m(2n-m)\)
16. \(-6ab + 9b^2 = 3b(3b-2a)\)
17. \(x^2y - xy^2 = xy(x-y)\)
18. \(ab - a^2b = ab(1-a)\)
19. \(-p^2q^2 - pq = -pq(pq+1)\)
20. \(a^2 + a = a(a+1)\)
21. \(x^3 - x^2 = x^2(x-1)\)
22. \(c^5 + c^7 = c^5(1+c^2)\)
23. \(a^3 - a^7 = a^3(1-a^4)\)
24. \(3m^2 + 9m^3 = 3m^2(1+3m)\)
25. \(9p^3 - 8p = p(9p^2-8)\)
26. \(4c^2 - 12c^4 = 4c^2(1-3c^2)\)
27. \(5x^5 - 15x^3 = 5x^3(x^2-3)\)