Question

Which expression is a factor of 3xy + 2x − 18y − 12?

x + 6
x + 3
2 + 3y
3x − 2y

Answer 1

x(3y+2)-6(3y+2)
(x-6)(3y+2)
so the answer is 2+3y

Answer 2

Answer: The correct option is (C) 2 + 3y.

Step-by-step explanation: We are given to select the expression that is a factor of the following expression :

`E=3xy+2x-18y-12.`

To select the correct factor, first we need to factorize the given expression.

The factorization is as follows :

`E\\\\=3xy+2x-18y-12\\\\=x(3y+2)-6(3y+2)\\\\=(x-6)(3y+2)\\\\=(x-6)(2+3y).`

Thus, the required factors of the given expression are (x - 6) and (3y + 2).

The correct option is (C) 2 + 3y.