1) ab + ac - b - c = a(b + c) - (b + c) = (a - 1)(b + c)2) mn - m + n - 1 = (m - 1)(n + 1)3) bd - ad + 3a - 3b = d(b - a) + 3(a - b) = (d + 3)(a - b)4) 2b - 2c + ab - ac = 2(b - c) + a(b - c) = (2 + a)(b - c)5) ab - ac + 5b - 5c = a(b - c) + 5(b - c) = (a + 5)(b - c)6) xy - xz - y + z = x(y - z) - 1(y - z) = (x - 1)(y - z)7) km - k - 2m + 2 = k(m - 1) - 2(m - 1) = (k - 2)(m - 1)8) 3x - 3y - 2ax + 2ay = 3(x - y) - 2a(x - y) = (3 - 2a)(x - y)
1) ab + ac - b - c = a(b + c) - (b + c) = (a - 1)(b + c)
2) mn - m + n - 1 = (m - 1)(n + 1)
3) bd - ad + 3a - 3b = d(b - a) + 3(a - b) = (d + 3)(a - b)
4) 2b - 2c + ab - ac = 2(b - c) + a(b - c) = (2 + a)(b - c)
5) ab - ac + 5b - 5c = a(b - c) + 5(b - c) = (a + 5)(b - c)
6) xy - xz - y + z = x(y - z) - 1(y - z) = (x - 1)(y - z)
7) km - k - 2m + 2 = k(m - 1) - 2(m - 1) = (k - 2)(m - 1)
8) 3x - 3y - 2ax + 2ay = 3(x - y) - 2a(x - y) = (3 - 2a)(x - y)