116. Разложите на множители: 1) ab - ac + yb - ус; 2) 3x + 3y - bx - by; 3) 4n-nc-4 + C; 4) x² + x^3 - 4x^4 - 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 = n(4-c) - (4-c) = (n-1)(4-c) 4) x^2 + x^3 - 4x^4 - 4 = x^2(1+x) - 4(x^4+1) = x^2(1+x) - 4(x+1)(x^3-x^2+x-1) = (x+1)(x^2 - 4(x^3-x^2+x-1)) = (x+1)(x^2 - 4x^3 + 4x^2 - 4x + 4) = (x+1)(-4x^3 + 5x^2 - 4x + 4) 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 + zb^2 - za + yb^2 = x(a-b^2) - y(a-b^2) - z(a-b^2) = (x-y-z)(a-b^2)