Question

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

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.