1) a(2-b)-(2-b) = a(2-b) - (2-b) = (a-1)(2-b)2) -15a+20b-35c = -5(3a-4b+7c)3) 9x^2y - 12x^3y^2 + 3xy = 3xy(3x - 2x^2y + 1)4) ac-3bd+ad-3bc = a(c+d) - 3b(d+c) = (a-3b)(c+d)5) bx+by+x^2+xy-ax-ay = x(b + y + x - a - y) = x(b - a + x)6) 12a^2 - 18ab + 14a - 21b = 2(6a^2) - 2(9a)(b) + 7(2a) - 7(3b) = 2(3a - 7)(2a + 1)
1) a(2-b)-(2-b) = a(2-b) - (2-b) = (a-1)(2-b)
2) -15a+20b-35c = -5(3a-4b+7c)
3) 9x^2y - 12x^3y^2 + 3xy = 3xy(3x - 2x^2y + 1)
4) ac-3bd+ad-3bc = a(c+d) - 3b(d+c) = (a-3b)(c+d)
5) bx+by+x^2+xy-ax-ay = x(b + y + x - a - y) = x(b - a + x)
6) 12a^2 - 18ab + 14a - 21b = 2(6a^2) - 2(9a)(b) + 7(2a) - 7(3b) = 2(3a - 7)(2a + 1)