Question

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

2x – 3
2y + 3
x – 2
y – 3
...?

Answer 1

(2x-3) is the answer.

Explanation:

The given expression is :

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

Grouping these terms we get-

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

So, the factors are :

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

Hence, out of the given options (2x-3) is the answer.

And he other factor is (y+3) that is not mentioned in the options.

Answer 2

I think the correct answer from the choices listed above is the first option. The expression that is a factor of 2xy + 6x – 3y – 9 would be 2x – 3. We can see by doing as follows:

2xy + 6x – 3y – 9
2x(y+3) - 3(y+3)
(2x – 3)(y+3)

Hope this helps. Have a nice day.