116. Разложите на множители: 1) ab - ac + yb - yc; 2) 3x + 3y - bx - by; 3) 4n - nc - 4 + c; 4) x⁷ + x³ - 4x⁴ - 4; 5) 6mn - 3m + 2n - 1; 6) 4a⁴ - 5a³y - 8a + 10y; 7) a²b² - a + ab² – 1; 8) xa - xb² - ya + zb² - za + yb².

1) (ab - ac + yb - yc = a(b-c) + y(b-c) = (a+y)(b-c)) 2) (3x + 3y - bx - by = 3(x+y) - b(x+y) = (3-b)(x+y)) 3) (4n - nc - 4 + c = 4(n-1) - c(n-1) = (4-c)(n-1)) 4) (x^7 + x^3 - 4x^4 - 4 = x^3(x^4 + 1) - 4(x^4 + 1) = (x^3 - 4)(x^4 + 1)) 5) (6mn - 3m + 2n - 1 = 3m(2n-1) + (2n - 1) = (3m + 1)(2n-1)) 6) (4a^4 - 5a^3y - 8a + 10y = a^3(4a - 5y) - 2(4a - 5y) = (a^3 - 2)(4a - 5y)) 7) (a^2b^2 - a + ab^2 - 1 = a^2b^2 + ab^2 - a - 1 = ab^2(a+1) - (a+1) = (ab^2-1)(a+1)) 8) (xa - xb^2 - ya + yb^2 - za + zb^2 = x(a-b^2) - y(a-b^2)-z(a-b^2)=(x-y-z)(a-b^2))