Вправи: 441

441. Розкладіть на множники:

1) 2х(a + b) + у(a + b) = (a + b)(2x + y);

2) (а – 4) – b(а – 4) = (а – 4)(1 – b);

3) 5а(m – n) + 7b(m – n)= –(m – n)(5а + 7b);

4) 6х(4х + 1) – 11(4х + 1) = (4х + 1)(6х – 11);

5) а(с – d) + b(d – с) = а(с – d) – b(c – d) = (с – d)(a – b);

6) х(х – 6) – 10(6 – х) = х(х – 6) + 10(х – 6) = (х – 6)(х + 10);

7) b(b – 20) + (20 – b) = b(b – 20) – (b – 20) = (b – 20)(b – 1);

8) 6a(a – 3b) – 13b(3b – a) = 6a(a – 3b) + 13b(a – 3b) = (a – 3b)(6a + 13b);

9) (m – 9)² – 3(m – 9) = (m – 9)(m – 9 – 3) = (m – 9)(m – 12);

10) a(a + 5)² + (a + 5) = (a + 5)(a(a + 5) + 1) = (a + 5 )(a² +5a +1);

11) (m² – 3) – n(m² – 3)² = (m² – 3)(1 – n(m² – 3)) = (m² – 3)(1 – nm² + 3n);

12) 8c(p – 12) + 7d(p – 12)² = (p – 12)(8c + 7d(p – 12)) = (p – 12) (8c + 7dp – 84d).