Разложить на множители:
x(a+b)+ay+by = x(a+b)+y(a+b) = (a+b)(x+y)
ac+bc+a(a+b) = c(a+b)+a(a+b) = (a+b)(c+a)
m(p+q)−pn−qn = m(p+q)−n(p+q) = (p+q)(m-n)
ax−ay+bx−by = a(x−y)+b(x−y) = (x−y)(a+b)
x²+xy+ax+ay = x(x+y)+a(x+y) = (x+y)(x+a)
am+an+m+n = m(a+1)+n(a+1) = (a+1)(m+n)
3a−3b+ax−bx = 3(a−b)+x(a−b) = (a−b)(3+x)
x²−xy−2x+2y = x(x−y)−2(x−y) = (x−y)(x−2)
a²−ab−3a+3b = a(a−b)−3(a−b) = (a−b)(a−3)
6by−15x−4ay+10ax = (6by−4ay)−(15bx−10ax) = 2y(3b−2a)−5x(3b−2a) = (3b−2a)(2y−5x)
4x²−4xz−3x+3z = 4x(x−z)−3(x−z) = (x−z)(4x−3)
Разложить на множители:
x(a+b)+ay+by = x(a+b)+y(a+b) = (a+b)(x+y)
ac+bc+a(a+b) = c(a+b)+a(a+b) = (a+b)(c+a)
m(p+q)−pn−qn = m(p+q)−n(p+q) = (p+q)(m-n)
ax−ay+bx−by = a(x−y)+b(x−y) = (x−y)(a+b)
x²+xy+ax+ay = x(x+y)+a(x+y) = (x+y)(x+a)
am+an+m+n = m(a+1)+n(a+1) = (a+1)(m+n)
3a−3b+ax−bx = 3(a−b)+x(a−b) = (a−b)(3+x)
x²−xy−2x+2y = x(x−y)−2(x−y) = (x−y)(x−2)
a²−ab−3a+3b = a(a−b)−3(a−b) = (a−b)(a−3)
6by−15x−4ay+10ax = (6by−4ay)−(15bx−10ax) = 2y(3b−2a)−5x(3b−2a) = (3b−2a)(2y−5x)
4x²−4xz−3x+3z = 4x(x−z)−3(x−z) = (x−z)(4x−3)