Розділ 2. РОЗКЛАДАННЯ МНОГОЧЛЕНІВ » 626

Розклади на множники многочлен. a) 4ab + 12b – 4a – 12 = 4(ab + 3b – a – 3) = 4(b • (a + 3) – (a + 3) = 4(a + 3)(b – 1); б) 10y2 – 6xy2 – 5y + 3xy = y(10y – 6xy – 5 + 3x) = y(10y – 5 – (6xy – 3x)) = y(5(2y – 1) – 3x(2y – 1)) = y(2y – 1)(5 – 3x); в) n2a + n2b – 4a – 4b = (n2a + n2b) – (4a + 4b) = n2(a + b) – 4(a + b) = (a + b)(n2 – 4) = (a + b)(n – 2)(n + 2); г) 9a – 9 – c2a + c2 = (9a – 9) – (c2a – c2) = 9(a – 1) – c2(a – 1) = (a – 1) (9 – c2) = (a – 1)(3 – c)(3 + c).