Вправи: 628

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).