2. Разложите на множители многочлен: 1) 10a5b³ – 18a3b7; 2) (x + 5)(5a + 1) – (x + 5)(2а – 8); 3) 3a – 3b + ax - bx; 4) x² - 2xy + x - xz + 2yz – z.

1) 10a⁵b³ – 18a³b⁷ = 2a³b³(5a² - 9b⁴)

2) (x + 5)(5a + 1) – (x + 5)(2a – 8) = (x + 5)((5a + 1) - (2a - 8)) = (x + 5)(5a + 1 - 2a + 8) = (x + 5)(3a + 9) = 3(x + 5)(a + 3)

3) 3a – 3b + ax - bx = 3(a - b) + x(a - b) = (a - b)(3 + x)

4) x² - 2xy + x - xz + 2yz – z = x(x + 1) - 2y(x - z) - z

x² - 2xy + x - xz + 2yz – z = x² - 2xy + x + z(2y - x - 1)

Ответ: 1) 2a³b³(5a² - 9b⁴); 2) 3(x + 5)(a + 3); 3) (a - b)(3 + x); 4) x² - 2xy + x - xz + 2yz – z = x² - 2xy + x + z(2y - x - 1)