Вправи: 520

520. Розкладіть на множники вираз:

1) 15 – x² = (15)² – x² = (15 – x)(15 + x);

2) 49x² – 2 = (7x)² – (2)² = (7x – 2)(7x + 2);

3) 36p – 64q = (6p)² – (8q)² = (6p – 8q)(6p + 8q);

4) c – 100 = (c)² – 10² = (c – 10)(c + 10);

5) a – 8ba + 16b² = (a)² – 8ba + (4b)² = (a – 4b)²;

6) m + 2mn + n = (m)² + 2mn + (n)² = (m + n)²;

7) a – 4a + 4 = (a)² – 4a + 2² = (a – 2)²;

8) 5 + 5 = (5)² + 5 = 5(5 + 1);

9) 3p – p = 3 • p – (p)² = p(3 – p);

10) 12 + 32 = 4 •3 + 16 •2 = 23 + 42 = 2(3 + 22).