Розділ 2. РОЗКЛАДАННЯ МНОГОЧЛЕНІВ » 628

Розклади на множники многочлен. a) x2 – 2ax + a2 – 16 = (x2 – 2ax + a2) – 42 = (x – a)2 – 42 = (x – a – 4) • (x – a + 4); б) x2 + 2x + 1 – a2 = (x2 + 2x + 1) – a2 = (x + 1)2 – a2 = (x + 1 – a) • (x + 1 + a) в) m2 – x2 – 4x – 4 = m2 – (x2 + 4x + 4) = m2 – (x + 2)2 = (m – (x + 2)) (m + x + 2) = (m – x – 2)(m + x + 2); г) x2 – y2 – 6x + 9 = (x2 – 6x + 9) – y2 = (x – 3)2 – y2 = (x – 3 – y)(x – 3 + y).