Вправи: 627

627. Розклади на множники многочлен.

a) m² – 2mn + n² – 25 = (m² – 2mn + n²) – 5² = (m + n + 5)(m – n + 5);

б) a² – 6a + 9 – b² = (a² – 6a + 9) – b² = (a – 3)² – b² = (a – 3 – b)(a – 3 + b);

в) 64 – x² + 4xy – 4y² = 8² – (x² – 4xy + 4y²) = 8² – (x – 2y)² = (8 – (x – 2y))(8 + x – 2y) = (8 – x + 2y)(8 + x – 2y);

г) 16 – b² – 8a + a² = (16 – 8a + a²) – b² = (4 – a)² – b² = (4 – a – b)(4 – a + b).