Розділ 2. РОЗКЛАДАННЯ МНОГОЧЛЕНІВ » 442

Розклади на множники многочлен. a) 3m2 + 9mn – 2m – 6n = (3m2 + 9mn) – (2m + 6n) = 3m(m + 3n) – 2(m + 3n) = (m + 3n)(3m – 2; б) a3 – a2n – 3a + 3n = (a3 – a2n) – (3a – 3n) = a2(a – n) – 3(a – n) = (a – n)(a2 – 3); в) y3 – 3y5 + 3y2 – 9y4 = (y3 + 3y2) – (3y5 + 9y4) = y2(y + 3) – 3y4(y + 3) = (y + 3)(y2 – 3y4) г) 3a3 + 12a2 – a – 4 = 3a3 + 12a2 – (a + 4) = 3a2(a + 4) – (a + 4) = (a + 4)(3a2 – 1); ґ) 4x2y2 – 4xy – 5axy + 5a = (4x2y2 – 4xy) – (5axy – 5a) = 4xy(xy – 1) – 5a(xy – 1) = (xy – 1)(4xy – 1); д) a3x2 + a2x3 – a – x = (a3x2 + a2x3) – (a + x) = a2x2(a + x) – (a + x) = (a + x)(a2x2 – 1).