Разложите на множители: 1. 4a + by + ay + 4b 2. 3a-3c + xa-xc 3. 2x + ac + cx + 2a 4. 2x + 7y + 14 + xy 5. px + py - 5x - 5y 6. ab - ac - 4b + 4c

Разложение на множители:

1. \( 4a + by + ay + 4b = (4a + 4b) + (by + ay) = 4(a+b) + y(b+a) = (4+y)(a+b) \)
2. \( 3a - 3c + xa - xc = (3a - 3c) + (xa - xc) = 3(a-c) + x(a-c) = (3+x)(a-c) \)
3. \( 2x + ac + cx + 2a = (2x + 2a) + (ac + cx) = 2(x+a) + c(a+x) = (2+c)(x+a) \)
4. \( 2x + 7y + 14 + xy = (2x + xy) + (7y + 14) = x(2+y) + 7(y+2) = (x+7)(2+y) \)
5. \( px + py - 5x - 5y = (px + py) - (5x + 5y) = p(x+y) - 5(x+y) = (p-5)(x+y) \)
6. \( ab - ac - 4b + 4c = (ab - ac) - (4b - 4c) = a(b-c) - 4(b-c) = (a-4)(b-c) \)

Ответ: 1. (4+y)(a+b); 2. (3+x)(a-c); 3. (2+c)(x+a); 4. (x+7)(2+y); 5. (p-5)(x+y); 6. (a-4)(b-c).