Question

Which expression is a factor of 2xy + 6x − 3y − 9? y − 3 2x + 3y x + 3 2x − 3

Answer 1

Answer: D) 2x - 3

Explanation:

Factor using the Grouping Method

2xy + 6x + -3y - 9

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

Since they have a common factor (y + 3), the grouping method can be used - the outside is one factor and the common factor is the other.

⇒ (2x - 3)(y + 3)

2x - 3 is provided as one of the options. y + 3 is not given as an option

Answer 2

`2x - 3`

Explanation:

The given expression is

`2xy+ 6x - 3y - 9`

Let us factor the expression.

Factor the GCF of each pair;

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

Factor again to obtain:

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

The correct choice is 2x-3