вправа 441 гдз 7 клас алгебра Мерзляк Полонський

Відповідь:

1) 2x(a + b) + y(a + b) =
= (2x + y)(a + b);
2) (a - 4) - b(a - 4) =
= (1 - b)(a - 4);
3) 5a(m - n) + 7b(m - n) =
= (5a + 7b)(m - n);
4) 6x(4x + 1) - 11(4x + 1) =
= (6x - 11)(4x + 1);
5) a(c - d) + b(d - c) =
= a(c - d) - b(c - d) =
= (a - b)(c - d);
6) x(x - 6) - 10(6 - x) =
= x(x - 6) + 10(x - 6) =
= (x + 10)(x - 6);
7) b(b - 20) + (20 - b) =
= b(b - 20) - (b - 20) =
= (b - 1)(b - 20);
8) 6a(a - 3b) - 13b(3b - a) =
= 6a(a - 3b) + 13b(a - 3b) =
= (6a + 13b)(a - 3b);
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).