Розділ 2. РОЗКЛАДАННЯ МНОГОЧЛЕНІВ » 417

Розклади на множники вираз. a) a(a2 + 1) + 5(a2 + 1) = (a2 + 1)(a + 5); б) 8(a2 – 3) + (a2 – 3)2 = (a2 – 3)(8 + a2 – 3) = (a2 – 3)(a2 + 5) в) 5b(3 + 2c)3 + 2b(3 + 2c)2 = b(3 + 2c)2(15 + 10c + 2) = b(3 + 2c)2(10c + 17); г) x(a – b) + 3y(b – a) = x(a – b) – 3y(a – b) = (a – b) • (x – 3y); ґ) 4(b – 3) + 5b(3 – b) = 4(b – 3) – 5b(b – 3) = (b – 3)(4 – 5b); д) 7(a – 4)2 + (4 – a) = 7(4 – a)2 + (4 – a) = (4 – a)(28 – 7a + 1) = (4 – a)(29 – 7a); е) 5a(3a – b) + (b – 3a)(5a + 2b) = 5a(3a – b) – (3a – b)(5a + 2b) = –2b(3a – b); є) (a + 7b)(a – 5b) – (b – 3a)(a – 5b) = (a – 5b)(a + 7b – b + 3a) = (a – 5b)(4a + 6b).