Розділ 2. РОЗКЛАДАННЯ МНОГОЧЛЕНІВ » 418

Розклади на множники вираз. a) 6a(x – 2) + 8b(x – 2) + 4c(2 – x) = 6a(x – 2) + 8b(x – 2) – 4c(x – 2) = (x – 2)(6a + 8b – 4c); б) (x3 + 1)(2x + 3) + 3(2x4 + 3x3) + (x3 – 1)(3 + 2x) = (x3 + 1)(2x + 3) + 3x3(2x + 3) + (x3 – 1)(2x + 3) = (2x + 3)(x3 + 1 + 3x3 + x3 – 1) = (2x + 3) • 5x3; в) (x3 – 1) + 5a(x3 – 1) + b(1 – x3) = (x3 – 1) + 5a(x3 – 1) – b(x3 – 1) = (x3 – 1)(1 + 5a – b); г) (2x – 1)(x2 + 1) + (x2 – 1)(2x – 1) + (1 – 2x)(x2 + 2) = (2x – 1)(x2 + 1) + (x2 – 1)(2x – 1) – (2x – 1)(x2 + 2) = (2x – 1)(x2 + 1 + x2 – 1 – x2 – 2) = (2x – 1)(x2 – 2).