Factorise:3x-8y-4xy+6?

= 3x - 8y - 4xy + 6
= - 8y - 4xy + 3x + 6
= - 4y(2 + x) + 3(x + 2)
= (3 - 4y)(x + 2)

Answer: (3 - 4y)(x + 2)

F.O.I.L. to prove:
= (3 - 4y)(x + 2)
= 3x + 6 - 4xy - 8y rearrange
= 3x - 8y - 4xy + 6

3(x + 2) - 4y(x + 2)
(x + 2)(3 - 4y)

3x - 8y - 4xy + 6
= -4xy + 3x - 8y + 6
= (-4xy + 3x) - (8y - 6)
= -x(4y - 3) - 2(4y - 3)
= (4y - 3)(-x - 2)
= -(4y - 3)(x + 2)

2y(-4x -2) + 3(x+2)