Вправи: 519

519. Розкладіть на множники вираз:

1) a² – 3 = a² – (3)² = (a – 3)(a + 3);

2) 4b² – 2 = (2b)² – (2)² = (2b – 2)(2b + 2);

3) 5 – 6c² = (5)² – (6c)² = (5 – 6c)(5 + 6c);

4) a – 9 = (a) – 3² = (a – 3)(a + 3);

5) m – n = (m)² – (n)² = (m – n)(m + n);

6) 16x – 25y = (4x)² – (5y)² = (4x – 5y)(4x + 5y);

7) a – 2a + 1 = (a)² – 2a + 1² = (a – 1)²;

8) 4m – 28mn + 49n = (2m)² – 28mn + (7n)² = (2m – 7n)²;

9) b + 6b + 9 = (b)² + 6b + 3² = (b + 3)²;

10) 3 + 23c + c = (3)² + 23c + (c)² = (3 + c)²;

11) 2 + 2 = (2)² + 2 = 2(2 + 1);

12) 67 – 7 = 67 – (7)² = 7(6 – 7);

13) a – a = (a)² – a = a(a – 1);

14) b + 3b = b + 3 • b = b(1 + 3);

15) 15 – 5 = 5 • 3 – 5 = 5(3 – 1).