Помогите пожалуйстаТема: Разложение многочленов на множители

1) a(b+c) + p(b+c) = (b + c)(a + p)

a(x-y) - b(x-y) = (x - y)(a - b)

3a(a +b) - m(a + b) = (a + b)(3a - m)

7(x-c) + (x-c)xc = (x-c)(7+xc)

a(x-2) + (x-2) = (x-2)(a+1)

(c+8) - c(c+8) = (c+8)(1-c)

2(a-3) + b(3-a) = (a-3)(2-b)

3(b-5) - a(5-b) = (b-5)(3+a)

x(a-5) + (5-a) = (a-5)(x-1)

m-n + (n-m)y = (n-m)(-1+y)

2) ax + bx + ac + bc = (ax + bx) + (ac + bc) = x(a+b) + c(a+b) = (a+b)(x+c)

3a - 3c + xa - xc = (3a -3c) + (xa -xc) = 3(a-c) + x(a-c) = (a-c)(3+x)

4a + by + ay + 4b = (4a + 4b) + (ay + by) = 4(a+b) + y(a+b) = (a+b)(4+y)

6x + 7y + 42 + xy = (6x + xy) + (42 + 7y) = x(6+y) + 7(6+y) = (6+y)(x+7)

px + py - 5x - 5y = (px + py) - (5x + 5y) = p(x+y) - 5(x+y) = (x+y)(p-5)

ab - ac - 4b + 4c = (ab - ac) - (4b -c) = a(b-c) - 4(b-c) = (b-c)(a-4)

3) 2a + b + 2a +ab = (2a + 2a) + (b + ab) = 2a(1 +a) +b(1+a) = (1+a)(2a+b)

3a + 3a - b - ab = (3a + 3a) - (b + ab) = 3a(1+a) - b(1+a) = (1+a)(3a-b)

2x - 3x + 4ax - 6a = (2x - 3x) + (4ax - 6a) = x(2x-3) +2a(2x-3) = (2x-3)(x+2a)

xy + xy + axy + a = (xy + xy) + (axy + a) = xy(xy+1) + a(xy+1) = (xy+1)(xy+a)