Вправа 637 алгебра Бевз гдз 7 клас

№ 637

а) m⁴ + 4m³ – 16m – 16 = m⁴ – 16 + 4m³ – 16m =
= (m² – 4)(m² + 4) + 4m(m² – 4) = (m² – 4)(m² + 4 + 4m) =
= (m + 2)(m – 2) • (m + 2)² = (m – 2)(m + 2)³;
б) a⁴ – 8a³ + 128a – 256 = a⁴ – 256 – 8a(a² – 16) =
= (a² – 16)a² + 16) – 8a(a² – 16) = (a² – 16)(a² + 16 – 8a) =
= (a – 4)(a + 4)(a – 4)² = (a + 4)(a – 4)³.