Question

Разложите многочлены на множетели: 1. ax-ay-b(x-y)
2. 3a-3b+an-bn
3. 3(a-b)+ac-bc
4. ac+bc-7a-7b​

Answer 1

$ax - ay - b(x - y) = a(x - y) - b(x - y) = (x - y)(a - b)$

$3a - 3b + an - bn = 3(a - b) + n(a - b) = (a - b)(3 + n)$

$3(a - b) + ac - bc = 3(a - b) + c(a - b) = (a - b)(3 + c)$

$ac + bc - 7a - 7b = c(a + b) - 7(a + b) = (a + b)(c - 7)$